72,012,606

2 × 3 × 97 × 123733

72,012,606 factors as 2 × 3 × 97 × 123733. Its 16 positive divisors give a proper-divisor sum of 73,498,578, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 123733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 145,511,184

Proper Divisor Sum 73,498,578

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #72012599 ← → #72012623

Radix Representation

Decimal	72012606
Binary	100010010101101001100111110 (27 bits)
Octal	0o422551476
Hexadecimal	0x44AD33E

Divisor Catalog (16)

1 2 3 6 97 194 291 582 123,733 247,466 371,199 742,398 12,002,101 24,004,202 36,006,303 72,012,606

Collatz Trajectory (122 steps to reach 1)

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

72,012,606 36,006,303 108,018,910 54,009,455 162,028,366 81,014,183 243,042,550 121,521,275 364,563,826 182,281,913 546,845,740 273,422,870 136,711,435 410,134,306 205,067,153 615,201,460 307,600,730 153,800,365 461,401,096 230,700,548 115,350,274 57,675,137 173,025,412 86,512,706 43,256,353 129,769,060 64,884,530 32,442,265 97,326,796 48,663,398 24,331,699 72,995,098 36,497,549 109,492,648 54,746,324 27,373,162 13,686,581 41,059,744 20,529,872 10,264,936 5,132,468 2,566,234 1,283,117 3,849,352 1,924,676 962,338 481,169 1,443,508 721,754 360,877 1,082,632 541,316 270,658 135,329 405,988 202,994 101,497 304,492 152,246 76,123

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