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Atlas › Integer Profiles › Node 72,025,212

72,025,212

22 × 3 × 7 × 29 × 29567
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 29 × 29567
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 198,696,960
Proper Divisor Sum 126,671,748
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #72025211 ← → #72025229

Radix Representation

Decimal 72025212
Binary 100010010110000010001111100 (27 bits)
Octal 0o422602174
Hexadecimal 0x44B047C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1,218 2,436 29,567 59,134 88,701 118,268 177,402 206,969 354,804 413,938 620,907 827,876 857,443 1,241,814 1,714,886 2,483,628 2,572,329 3,429,772 5,144,658 6,002,101 10,289,316 12,004,202 18,006,303 24,008,404 36,012,606 72,025,212

Collatz Trajectory (259 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

72,025,212 36,012,606 18,006,303 54,018,910 27,009,455 81,028,366 40,514,183 121,542,550 60,771,275 182,313,826 91,156,913 273,470,740 136,735,370 68,367,685 205,103,056 102,551,528 51,275,764 25,637,882 12,818,941 38,456,824 19,228,412 9,614,206 4,807,103 14,421,310 7,210,655 21,631,966 10,815,983 32,447,950 16,223,975 48,671,926 24,335,963 73,007,890 36,503,945 109,511,836 54,755,918 27,377,959 82,133,878 41,066,939 123,200,818 61,600,409 184,801,228 92,400,614 46,200,307 138,600,922 69,300,461 207,901,384 103,950,692 51,975,346 25,987,673 77,963,020 38,981,510 19,490,755 58,472,266 29,236,133 87,708,400 43,854,200 21,927,100 10,963,550 5,481,775 16,445,326

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