76,732,784

2⁴ × 23 × 208513

76,732,784 factors as 2^4 × 23 × 208513. Its 20 positive divisors give a proper-divisor sum of 78,401,632, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 208513

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 155,134,416

Proper Divisor Sum 78,401,632

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #76732757 ← → #76732793

Radix Representation

Decimal	76732784
Binary	100100100101101100101110000 (27 bits)
Octal	0o444554560
Hexadecimal	0x492D970

Divisor Catalog (20)

Collatz Trajectory (122 steps to reach 1)

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

76,732,784 38,366,392 19,183,196 9,591,598 4,795,799 14,387,398 7,193,699 21,581,098 10,790,549 32,371,648 16,185,824 8,092,912 4,046,456 2,023,228 1,011,614 505,807 1,517,422 758,711 2,276,134 1,138,067 3,414,202 1,707,101 5,121,304 2,560,652 1,280,326 640,163 1,920,490 960,245 2,880,736 1,440,368 720,184 360,092 180,046 90,023 270,070 135,035 405,106 202,553 607,660 303,830 151,915 455,746 227,873 683,620 341,810 170,905 512,716 256,358 128,179 384,538 192,269 576,808 288,404 144,202 72,101 216,304 108,152 54,076 27,038 13,519

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