80,964,900

2² × 3³ × 5² × 157 × 191

80,964,900 factors as 2^2 × 3^3 × 5^2 × 157 × 191. Its 144 positive divisors give a proper-divisor sum of 182,351,580, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5^2 × 157 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 263,316,480

Proper Divisor Sum 182,351,580

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #80964889 ← → #80964907

Radix Representation

Decimal	80964900
Binary	100110100110110110100100100 (27 bits)
Octal	0o464666444
Hexadecimal	0x4D36D24

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 157 180 191 225 270 300 314 382 450 471 540 573 628 675 764 785 900 942 955 1,146 1,350 1,413 1,570 1,719 1,884 1,910 2,292 2,355 2,700 2,826 2,865 3,140 3,438 3,820

Collatz Trajectory (161 steps to reach 1)

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

80,964,900 40,482,450 20,241,225 60,723,676 30,361,838 15,180,919 45,542,758 22,771,379 68,314,138 34,157,069 102,471,208 51,235,604 25,617,802 12,808,901 38,426,704 19,213,352 9,606,676 4,803,338 2,401,669 7,205,008 3,602,504 1,801,252 900,626 450,313 1,350,940 675,470 337,735 1,013,206 506,603 1,519,810 759,905 2,279,716 1,139,858 569,929 1,709,788 854,894 427,447 1,282,342 641,171 1,923,514 961,757 2,885,272 1,442,636 721,318 360,659 1,081,978 540,989 1,622,968 811,484 405,742 202,871 608,614 304,307 912,922 456,461 1,369,384 684,692 342,346 171,173 513,520

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