72,755,620

2² × 5 × 7 × 519683

72,755,620 factors as 2^2 × 5 × 7 × 519683. Its 24 positive divisors give a proper-divisor sum of 101,858,204, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 519683

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 174,613,824

Proper Divisor Sum 101,858,204

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #72755587 ← → #72755629

Radix Representation

Decimal	72755620
Binary	100010101100010100110100100 (27 bits)
Octal	0o425424644
Hexadecimal	0x45629A4

Divisor Catalog (24)

Collatz Trajectory (91 steps to reach 1)

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

72,755,620 36,377,810 18,188,905 54,566,716 27,283,358 13,641,679 40,925,038 20,462,519 61,387,558 30,693,779 92,081,338 46,040,669 138,122,008 69,061,004 34,530,502 17,265,251 51,795,754 25,897,877 77,693,632 38,846,816 19,423,408 9,711,704 4,855,852 2,427,926 1,213,963 3,641,890 1,820,945 5,462,836 2,731,418 1,365,709 4,097,128 2,048,564 1,024,282 512,141 1,536,424 768,212 384,106 192,053 576,160 288,080 144,040 72,020 36,010 18,005 54,016 27,008 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358

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