97,029,436

2² × 7 × 461 × 7517

97,029,436 factors as 2^2 × 7 × 461 × 7517. Its 24 positive divisors give a proper-divisor sum of 97,476,260, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 461 × 7517

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 194,505,696

Proper Divisor Sum 97,476,260

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #97029431 ← → #97029451

Radix Representation

Decimal	97029436
Binary	101110010001000110100111100 (27 bits)
Octal	0o562106474
Hexadecimal	0x5C88D3C

Divisor Catalog (24)

Collatz Trajectory (125 steps to reach 1)

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

97,029,436 48,514,718 24,257,359 72,772,078 36,386,039 109,158,118 54,579,059 163,737,178 81,868,589 245,605,768 122,802,884 61,401,442 30,700,721 92,102,164 46,051,082 23,025,541 69,076,624 34,538,312 17,269,156 8,634,578 4,317,289 12,951,868 6,475,934 3,237,967 9,713,902 4,856,951 14,570,854 7,285,427 21,856,282 10,928,141 32,784,424 16,392,212 8,196,106 4,098,053 12,294,160 6,147,080 3,073,540 1,536,770 768,385 2,305,156 1,152,578 576,289 1,728,868 864,434 432,217 1,296,652 648,326 324,163 972,490 486,245 1,458,736 729,368 364,684 182,342 91,171 273,514 136,757 410,272 205,136 102,568

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