72,620,008

2³ × 9077501

72,620,008 factors as 2^3 × 9077501. Its 8 positive divisors give a proper-divisor sum of 63,542,522, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 9077501

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 136,162,530

Proper Divisor Sum 63,542,522

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #72620003 ← → #72620059

Radix Representation

Decimal	72620008
Binary	100010101000001011111101000 (27 bits)
Octal	0o425013750
Hexadecimal	0x45417E8

Divisor Catalog (8)

1 2 4 8 9,077,501 18,155,002 36,310,004 72,620,008

Collatz Trajectory (135 steps to reach 1)

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

72,620,008 36,310,004 18,155,002 9,077,501 27,232,504 13,616,252 6,808,126 3,404,063 10,212,190 5,106,095 15,318,286 7,659,143 22,977,430 11,488,715 34,466,146 17,233,073 51,699,220 25,849,610 12,924,805 38,774,416 19,387,208 9,693,604 4,846,802 2,423,401 7,270,204 3,635,102 1,817,551 5,452,654 2,726,327 8,178,982 4,089,491 12,268,474 6,134,237 18,402,712 9,201,356 4,600,678 2,300,339 6,901,018 3,450,509 10,351,528 5,175,764 2,587,882 1,293,941 3,881,824 1,940,912 970,456 485,228 242,614 121,307 363,922 181,961 545,884 272,942 136,471 409,414 204,707 614,122 307,061 921,184 460,592

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