Pi Digit Frequency Table
Analyze the occurrence of each digit in the first 10 billion digits of Pi to help math enthusiasts and developers understand the distribution of π digits
Statistics Explanation
This statistical table shows the occurrence count and frequency of digits 0-9 in the first 10 billion digits of Pi. Through intuitive data analysis, one can observe the distribution of π digits, suitable for mathematical research, algorithm testing, random number analysis, and teaching demonstrations.
Data Source and Accuracy
The data comes from the first 10 billion decimal digits of Pi calculated with high precision and verified multiple times to ensure accurate and reliable statistics. The results exclude the integer part “3” of π and only analyze the decimal part.
How to Use
Users can view the occurrence counts and percentages of each digit on this page, or download the complete statistical data. The data can be used for mathematical research, algorithm testing, teaching demonstrations, or exploring patterns in π digits for fun.
Download Data
Provides downloads in CSV and TXT formats. CSV is suitable for opening in Excel or data analysis software, TXT is convenient for direct viewing or program processing. Downloaded data includes the occurrence count and frequency percentage of each digit for easy further analysis.
Applicable Scenarios
- Mathematical research and statistical analysis
- Random number and probability experiments
- Algorithm testing and program verification
- Teaching demonstrations and popular science exploration
Friendly Reminder
The dataset is large; please ensure sufficient device performance when downloading or processing. Statistics are for learning, research, and recreational exploration only, not for commercial use.
0-9 Digit Frequency Statistics Table
The table below shows the occurrence count and frequency analysis of digits 0-9 in the first 10 billion decimal places of π (PI). The statistics indicate that as the sample size of π increases, the distribution of digits 0-9 gradually approaches uniformity.
| No. | Total | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 10 | 0 0.00% | 2 20.00% | 1 10.00% | 2 20.00% | 1 10.00% | 2 20.00% | 1 10.00% | 0 0.00% | 0 0.00% | 1 10.00% |
| 2 | 20 | 0 0.00% | 2 10.00% | 2 10.00% | 4 20.00% | 2 10.00% | 3 15.00% | 1 5.00% | 1 5.00% | 2 10.00% | 3 15.00% |
| 3 | 30 | 0 0.00% | 2 6.67% | 4 13.33% | 7 23.33% | 3 10.00% | 3 10.00% | 3 10.00% | 2 6.67% | 3 10.00% | 3 10.00% |
| 4 | 40 | 1 2.50% | 3 7.50% | 5 12.50% | 7 17.50% | 4 10.00% | 4 10.00% | 3 7.50% | 3 7.50% | 5 12.50% | 5 12.50% |
| 5 | 50 | 1 2.00% | 5 10.00% | 5 10.00% | 9 18.00% | 4 8.00% | 5 10.00% | 4 8.00% | 4 8.00% | 5 10.00% | 8 16.00% |
| 6 | 60 | 3 5.00% | 5 8.33% | 6 10.00% | 9 15.00% | 6 10.00% | 6 10.00% | 4 6.67% | 5 8.33% | 6 10.00% | 10 16.67% |
| 7 | 70 | 4 5.71% | 6 8.57% | 7 10.00% | 10 14.29% | 7 10.00% | 7 10.00% | 5 7.14% | 6 8.57% | 7 10.00% | 11 15.71% |
| 8 | 80 | 6 7.50% | 6 7.50% | 9 11.25% | 10 12.50% | 8 10.00% | 7 8.75% | 7 8.75% | 6 7.50% | 9 11.25% | 12 15.00% |
| 9 | 90 | 7 7.78% | 6 6.67% | 11 12.22% | 11 12.22% | 9 10.00% | 7 7.78% | 8 8.89% | 6 6.67% | 12 13.33% | 13 14.44% |
| 10 | 100 | 8 8.00% | 8 8.00% | 12 12.00% | 12 12.00% | 10 10.00% | 8 8.00% | 9 9.00% | 8 8.00% | 12 12.00% | 13 13.00% |
| 11 | 200 | 19 9.50% | 20 10.00% | 24 12.00% | 20 10.00% | 22 11.00% | 20 10.00% | 15 7.50% | 12 6.00% | 25 12.50% | 23 11.50% |
| 12 | 300 | 26 8.67% | 30 10.00% | 35 11.67% | 31 10.33% | 37 12.33% | 27 9.00% | 31 10.33% | 19 6.33% | 34 11.33% | 30 10.00% |
| 13 | 400 | 39 9.75% | 43 10.75% | 44 11.00% | 40 10.00% | 46 11.50% | 39 9.75% | 42 10.50% | 24 6.00% | 44 11.00% | 39 9.75% |
| 14 | 500 | 45 9.00% | 59 11.80% | 53 10.60% | 51 10.20% | 53 10.60% | 50 10.00% | 48 9.60% | 36 7.20% | 53 10.60% | 52 10.40% |
| 15 | 600 | 54 9.00% | 67 11.17% | 63 10.50% | 64 10.67% | 64 10.67% | 55 9.17% | 62 10.33% | 50 8.33% | 59 9.83% | 62 10.33% |
| 16 | 700 | 64 9.14% | 76 10.86% | 75 10.71% | 72 10.29% | 73 10.43% | 66 9.43% | 70 10.00% | 65 9.29% | 68 9.71% | 71 10.14% |
| 17 | 800 | 74 9.25% | 92 11.50% | 83 10.38% | 80 10.00% | 80 10.00% | 73 9.13% | 77 9.63% | 75 9.38% | 76 9.50% | 90 11.25% |
| 18 | 900 | 86 9.56% | 103 11.44% | 93 10.33% | 94 10.44% | 89 9.89% | 84 9.33% | 85 9.44% | 83 9.22% | 88 9.78% | 95 10.56% |
| 19 | 1,000 | 93 9.30% | 116 11.60% | 103 10.30% | 103 10.30% | 93 9.30% | 97 9.70% | 94 9.40% | 95 9.50% | 101 10.10% | 105 10.50% |
| 20 | 2,000 | 182 9.10% | 212 10.60% | 207 10.35% | 189 9.45% | 195 9.75% | 205 10.25% | 200 10.00% | 197 9.85% | 202 10.10% | 211 10.55% |
| 21 | 3,000 | 259 8.63% | 308 10.27% | 303 10.10% | 266 8.87% | 318 10.60% | 315 10.50% | 302 10.07% | 287 9.57% | 310 10.33% | 332 11.07% |
| 22 | 4,000 | 362 9.05% | 429 10.73% | 408 10.20% | 369 9.23% | 405 10.13% | 417 10.43% | 397 9.93% | 377 9.43% | 405 10.13% | 431 10.78% |
| 23 | 5,000 | 466 9.32% | 531 10.62% | 496 9.92% | 460 9.20% | 508 10.16% | 525 10.50% | 513 10.26% | 488 9.76% | 492 9.84% | 521 10.42% |
| 24 | 6,000 | 556 9.27% | 626 10.43% | 594 9.90% | 573 9.55% | 613 10.22% | 622 10.37% | 619 10.32% | 606 10.10% | 582 9.70% | 609 10.15% |
| 25 | 7,000 | 657 9.39% | 733 10.47% | 692 9.89% | 687 9.81% | 702 10.03% | 730 10.43% | 708 10.11% | 693 9.90% | 680 9.71% | 718 10.26% |
| 26 | 8,000 | 754 9.43% | 833 10.41% | 811 10.14% | 782 9.78% | 809 10.11% | 834 10.43% | 816 10.20% | 785 9.81% | 764 9.55% | 812 10.15% |
| 27 | 9,000 | 855 9.50% | 936 10.40% | 911 10.12% | 885 9.83% | 910 10.11% | 932 10.36% | 914 10.16% | 883 9.81% | 854 9.49% | 920 10.22% |
| 28 | 10,000 | 968 9.68% | 1026 10.26% | 1021 10.21% | 975 9.75% | 1012 10.12% | 1046 10.46% | 1021 10.21% | 970 9.70% | 947 9.47% | 1014 10.14% |
| 29 | 20,000 | 1954 9.77% | 1997 9.99% | 1986 9.93% | 1987 9.94% | 2043 10.22% | 2082 10.41% | 2017 10.09% | 1953 9.77% | 1961 9.81% | 2020 10.10% |
| 30 | 30,000 | 2998 9.99% | 3048 10.16% | 2897 9.66% | 2979 9.93% | 3057 10.19% | 3049 10.16% | 3012 10.04% | 2974 9.91% | 2972 9.91% | 3014 10.05% |
| 31 | 40,000 | 3989 9.97% | 4060 10.15% | 3892 9.73% | 3972 9.93% | 4014 10.04% | 4040 10.10% | 4026 10.07% | 3977 9.94% | 4032 10.08% | 3998 10.00% |
| 32 | 50,000 | 5033 10.07% | 5054 10.11% | 4867 9.73% | 4948 9.90% | 5011 10.02% | 5052 10.10% | 5018 10.04% | 4977 9.95% | 5030 10.06% | 5010 10.02% |
| 33 | 60,000 | 6009 10.02% | 6071 10.12% | 5894 9.82% | 5976 9.96% | 5983 9.97% | 6086 10.14% | 5980 9.97% | 5995 9.99% | 6015 10.03% | 5991 9.99% |
| 34 | 70,000 | 6992 9.99% | 7106 10.15% | 6892 9.85% | 7018 10.03% | 6948 9.93% | 7033 10.05% | 6966 9.95% | 7047 10.07% | 7013 10.02% | 6985 9.98% |
| 35 | 80,000 | 7972 9.97% | 8141 10.18% | 7920 9.90% | 7976 9.97% | 7957 9.95% | 8044 10.06% | 8025 10.03% | 8031 10.04% | 7953 9.94% | 7981 9.98% |
| 36 | 90,000 | 8990 9.99% | 9193 10.21% | 8887 9.87% | 9020 10.02% | 8957 9.95% | 9026 10.03% | 8992 9.99% | 9028 10.03% | 8953 9.95% | 8954 9.95% |
| 37 | 100,000 | 9999 10.00% | 10137 10.14% | 9908 9.91% | 10026 10.03% | 9971 9.97% | 10026 10.03% | 10028 10.03% | 10025 10.03% | 9978 9.98% | 9902 9.90% |
| 38 | 200,000 | 20104 10.05% | 20063 10.03% | 19892 9.95% | 20011 10.01% | 19874 9.94% | 20199 10.10% | 19898 9.95% | 20163 10.08% | 19955 9.98% | 19841 9.92% |
| 39 | 300,000 | 30001 10.00% | 30034 10.01% | 29879 9.96% | 30139 10.05% | 29844 9.95% | 30272 10.09% | 29890 9.96% | 30226 10.08% | 29926 9.98% | 29789 9.93% |
| 40 | 400,000 | 40013 10.00% | 40069 10.02% | 39813 9.95% | 40098 10.02% | 40093 10.02% | 40261 10.07% | 39859 9.96% | 40278 10.07% | 39814 9.95% | 39702 9.93% |
| 41 | 500,000 | 49915 9.98% | 49984 10.00% | 49752 9.95% | 50001 10.00% | 50357 10.07% | 50235 10.05% | 49824 9.96% | 50230 10.05% | 49911 9.98% | 49791 9.96% |
| 42 | 600,000 | 60019 10.00% | 59874 9.98% | 59627 9.94% | 60051 10.01% | 60475 10.08% | 60177 10.03% | 59761 9.96% | 60145 10.02% | 60015 10.00% | 59856 9.98% |
| 43 | 700,000 | 70037 10.01% | 69839 9.98% | 69796 9.97% | 69994 10.00% | 70601 10.09% | 70180 10.03% | 69577 9.94% | 69976 10.00% | 70138 10.02% | 69862 9.98% |
| 44 | 800,000 | 79949 9.99% | 79851 9.98% | 79872 9.98% | 79963 10.00% | 80447 10.06% | 80298 10.04% | 79650 9.96% | 79883 9.99% | 80167 10.02% | 79920 9.99% |
| 45 | 900,000 | 89995 10.00% | 89778 9.98% | 89912 9.99% | 90070 10.01% | 90330 10.04% | 90180 10.02% | 89574 9.95% | 89865 9.99% | 90214 10.02% | 90082 10.01% |
| 46 | 1,000,000 | 99959 10.00% | 99757 9.98% | 100026 10.00% | 100230 10.02% | 100230 10.02% | 100359 10.04% | 99548 9.95% | 99800 9.98% | 99985 10.00% | 100106 10.01% |
| 47 | 2,000,000 | 199792 9.99% | 199535 9.98% | 200077 10.00% | 200142 10.01% | 200083 10.00% | 200521 10.03% | 199403 9.97% | 200310 10.02% | 199447 9.97% | 200690 10.03% |
| 48 | 3,000,000 | 299451 9.98% | 299640 9.99% | 299867 10.00% | 300311 10.01% | 300234 10.01% | 300342 10.01% | 299461 9.98% | 300655 10.02% | 299440 9.98% | 300599 10.02% |
| 49 | 4,000,000 | 399418 9.99% | 399463 9.99% | 399822 10.00% | 399914 10.00% | 400792 10.02% | 400032 10.00% | 399032 9.98% | 400650 10.02% | 400183 10.00% | 400694 10.02% |
| 50 | 5,000,000 | 499620 9.99% | 499898 10.00% | 499508 9.99% | 499934 10.00% | 500544 10.01% | 500024 10.00% | 498758 9.98% | 500880 10.02% | 499880 10.00% | 500954 10.02% |
| 51 | 6,000,000 | 599476 9.99% | 600346 10.01% | 599682 9.99% | 599977 10.00% | 600357 10.01% | 599769 10.00% | 598438 9.97% | 600779 10.01% | 600255 10.00% | 600921 10.02% |
| 52 | 7,000,000 | 699323 9.99% | 700456 10.01% | 699948 10.00% | 700330 10.00% | 700266 10.00% | 699837 10.00% | 698428 9.98% | 700410 10.01% | 700551 10.01% | 700451 10.01% |
| 53 | 8,000,000 | 799111 9.99% | 800110 10.00% | 799788 10.00% | 800235 10.00% | 800201 10.00% | 800154 10.00% | 798885 9.99% | 800560 10.01% | 800638 10.01% | 800318 10.00% |
| 54 | 9,000,000 | 898824 9.99% | 899910 10.00% | 899961 10.00% | 899822 10.00% | 900949 10.01% | 900632 10.01% | 899243 9.99% | 900445 10.00% | 900209 10.00% | 900005 10.00% |
| 55 | 10,000,000 | 999440 9.99% | 999333 9.99% | 1000306 10.00% | 999965 10.00% | 1001093 10.01% | 1000466 10.00% | 999337 9.99% | 1000206 10.00% | 999814 10.00% | 1000040 10.00% |
| 56 | 20,000,000 | 2001162 10.01% | 1999832 10.00% | 2001409 10.01% | 1999344 10.00% | 2001105 10.01% | 2000125 10.00% | 1999269 10.00% | 1998404 9.99% | 1999720 10.00% | 1999630 10.00% |
| 57 | 30,000,000 | 2999157 10.00% | 3000553 10.00% | 3000969 10.00% | 2999223 10.00% | 3002593 10.01% | 2999997 10.00% | 2999548 10.00% | 2998175 9.99% | 2999592 10.00% | 3000193 10.00% |
| 58 | 40,000,000 | 3998620 10.00% | 4000689 10.00% | 4001754 10.00% | 3999046 10.00% | 4002297 10.01% | 4000678 10.00% | 3998804 10.00% | 3998685 10.00% | 3998711 10.00% | 4000716 10.00% |
| 59 | 50,000,000 | 4999632 10.00% | 5002220 10.00% | 5000573 10.00% | 4998631 10.00% | 5004008 10.01% | 4999797 10.00% | 4998017 10.00% | 4998895 10.00% | 4998494 10.00% | 4999733 10.00% |
| 60 | 60,000,000 | 6000989 10.00% | 6002957 10.00% | 6000496 10.00% | 5998066 10.00% | 6003573 10.01% | 5998454 10.00% | 5997776 10.00% | 5998499 10.00% | 5999666 10.00% | 5999524 10.00% |
| 61 | 70,000,000 | 6998752 10.00% | 7004229 10.01% | 7000755 10.00% | 6999582 10.00% | 7002962 10.00% | 6996862 10.00% | 6997933 10.00% | 6998514 10.00% | 7000965 10.00% | 6999446 10.00% |
| 62 | 80,000,000 | 7998807 10.00% | 8002788 10.00% | 8001827 10.00% | 7997657 10.00% | 8003525 10.00% | 7996500 10.00% | 7998165 10.00% | 7999389 10.00% | 8000308 10.00% | 8001034 10.00% |
| 63 | 90,000,000 | 8999061 10.00% | 9002299 10.00% | 9001832 10.00% | 8999115 10.00% | 9004437 10.00% | 8994836 9.99% | 8998902 10.00% | 8998963 10.00% | 9000947 10.00% | 8999608 10.00% |
| 64 | 100,000,000 | 9999922 10.00% | 10002475 10.00% | 10001091 10.00% | 9998443 10.00% | 10003863 10.00% | 9993478 9.99% | 9999417 10.00% | 9999610 10.00% | 10002180 10.00% | 9999521 10.00% |
| 65 | 200,000,000 | 19997437 10.00% | 20003774 10.00% | 20002185 10.00% | 20001411 10.00% | 19999846 10.00% | 19993031 10.00% | 19999161 10.00% | 20000287 10.00% | 20002307 10.00% | 20000561 10.00% |
| 66 | 300,000,000 | 29998356 10.00% | 30000582 10.00% | 30006337 10.00% | 29999868 10.00% | 29999810 10.00% | 29993099 10.00% | 29998913 10.00% | 29999071 10.00% | 30003682 10.00% | 30000282 10.00% |
| 67 | 400,000,000 | 39996048 10.00% | 39997375 10.00% | 40011791 10.00% | 39995030 10.00% | 40001014 10.00% | 39992123 10.00% | 40001899 10.00% | 40000314 10.00% | 40005735 10.00% | 39998671 10.00% |
| 68 | 500,000,000 | 49995279 10.00% | 50000437 10.00% | 50011436 10.00% | 49992410 10.00% | 50005121 10.00% | 49990678 10.00% | 49998820 10.00% | 50000319 10.00% | 50006632 10.00% | 49998868 10.00% |
| 69 | 600,000,000 | 59991725 10.00% | 59997597 10.00% | 60008591 10.00% | 59992559 10.00% | 60007990 10.00% | 59990211 10.00% | 60003895 10.00% | 59998772 10.00% | 60010958 10.00% | 59997702 10.00% |
| 70 | 700,000,000 | 69989891 10.00% | 69997755 10.00% | 70006497 10.00% | 69994029 10.00% | 70009581 10.00% | 69994536 10.00% | 70003795 10.00% | 69997014 10.00% | 70005161 10.00% | 70001741 10.00% |
| 71 | 800,000,000 | 79991897 10.00% | 79997003 10.00% | 80003316 10.00% | 79989652 10.00% | 80016073 10.00% | 79996120 10.00% | 80004148 10.00% | 79995109 10.00% | 80002932 10.00% | 80003750 10.00% |
| 72 | 900,000,000 | 89991208 10.00% | 89998381 10.00% | 90000968 10.00% | 89990084 10.00% | 90013132 10.00% | 89996086 10.00% | 90006412 10.00% | 89995658 10.00% | 90001979 10.00% | 90006092 10.00% |
| 73 | 1,000,000,000 | 99993942 10.00% | 99997334 10.00% | 100002410 10.00% | 99986912 10.00% | 100011958 10.00% | 99998885 10.00% | 100010387 10.00% | 99996061 10.00% | 100001839 10.00% | 100000272 10.00% |
| 74 | 2,000,000,000 | 199994316 10.00% | 199995284 10.00% | 199992575 10.00% | 199999471 10.00% | 200014368 10.00% | 199989852 10.00% | 200004785 10.00% | 199979293 10.00% | 200017844 10.00% | 200012212 10.00% |
| 75 | 3,000,000,000 | 299999143 10.00% | 299995932 10.00% | 299989126 10.00% | 299992291 10.00% | 300002257 10.00% | 299979016 10.00% | 300025447 10.00% | 299975510 10.00% | 300016549 10.00% | 300024729 10.00% |
| 76 | 4,000,000,000 | 400001233 10.00% | 400002285 10.00% | 399965405 10.00% | 399984470 10.00% | 400006936 10.00% | 399989052 10.00% | 400033034 10.00% | 399996122 10.00% | 400004741 10.00% | 400016722 10.00% |
| 77 | 5,000,000,000 | 499989001 10.00% | 500034127 10.00% | 499984949 10.00% | 499990322 10.00% | 499978284 10.00% | 499995352 10.00% | 500019818 10.00% | 500001702 10.00% | 499990522 10.00% | 500015923 10.00% |
| 78 | 6,000,000,000 | 599963005 10.00% | 600033260 10.00% | 599999169 10.00% | 600000244 10.00% | 599957439 10.00% | 600017176 10.00% | 600016588 10.00% | 600009043 10.00% | 599987038 10.00% | 600017038 10.00% |
| 79 | 7,000,000,000 | 699971579 10.00% | 700032287 10.00% | 700014462 10.00% | 699990865 10.00% | 699956491 10.00% | 700007095 10.00% | 700001460 10.00% | 700007943 10.00% | 699991522 10.00% | 700026296 10.00% |
| 80 | 8,000,000,000 | 799959839 10.00% | 800031172 10.00% | 800016834 10.00% | 799985887 10.00% | 799942991 10.00% | 799995302 10.00% | 800003383 10.00% | 800012745 10.00% | 800011229 10.00% | 800040618 10.00% |
| 81 | 9,000,000,000 | 899957813 10.00% | 900030375 10.00% | 900016141 10.00% | 899992753 10.00% | 899941810 10.00% | 899997750 10.00% | 900002183 10.00% | 900023381 10.00% | 899991718 10.00% | 900046076 10.00% |
| 82 | 10,000,000,000 | 999967994 10.00% | 1000037790 10.00% | 1000017271 10.00% | 999976484 10.00% | 999937688 10.00% | 1000007928 10.00% | 999985731 10.00% | 1000041330 10.00% | 999991772 10.00% | 1000036012 10.00% |
Frequently Asked Questions
Common questions and answers regarding π digit frequency statistics
1. What is π Digit Frequency Statistics?
π digit frequency statistics refer to calculating the occurrence of each digit (0-9) in the decimal part of π and analyzing its distribution to study the randomness and uniformity of π digits.
2. What is the scope of the data statistics?
This statistics table analyzes the first 10 billion decimal places of π (excluding the integer part “3”), covering a sufficiently large range to observe digit distribution trends.
3. Are the occurrences of digits 0-9 equal?
Since π is an infinite non-repeating decimal, each digit occurs very closely but not exactly equally. Statistical results show that the overall trend tends toward a uniform distribution.
4. Is there a significant deviation in digit frequency?
In the first 10 billion decimal places, the frequency difference of each digit is very small, and overall the distribution approaches a uniform level of 10%.
5. Does the statistical result include the integer part '3'?
The statistics only concern the decimal part of π and do not include the integer part '3', allowing for a more accurate analysis of the distribution of digits 0-9.
6. Why does the digit distribution tend to be uniform?
The decimal part of π is infinite and non-repeating, meaning that in large samples, each digit tends to appear with equal probability, so over the long term, the distribution of 0-9 approaches uniformity.
7. Can the data be downloaded?
Users can download the complete statistical data (CSV / TXT formats) for further analysis or use in research and teaching.
8. Can the statistics be used for research or teaching?
Yes, these statistics can be used for mathematical research, probability experiments, algorithm testing, and classroom demonstrations to help understand the digit patterns of π.
9. Can more digits of π be analyzed?
Our database currently provides statistics for the first 10 billion decimal places. For frequency analysis of more digits, please contact us for a customized solution.
10. What is the summary conclusion?
According to statistical analysis, in the first 10 billion decimal places of π, the occurrence of digits 0-9 is approximately uniform, with each digit appearing about 10% of the time.