9,729,239

13 × 29 × 131 × 197

9,729,239 factors as 13 × 29 × 131 × 197. Its 16 positive divisors give a proper-divisor sum of 1,247,881, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 13 × 29 × 131 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,977,120

Proper Divisor Sum 1,247,881

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9729227 ← → #9729241

Radix Representation

Decimal	9729239
Binary	100101000111010011010111 (24 bits)
Octal	0o45072327
Hexadecimal	0x9474D7

Divisor Catalog (16)

1 13 29 131 197 377 1,703 2,561 3,799 5,713 25,807 49,387 74,269 335,491 748,403 9,729,239

Collatz Trajectory (199 steps to reach 1)

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

9,729,239 29,187,718 14,593,859 43,781,578 21,890,789 65,672,368 32,836,184 16,418,092 8,209,046 4,104,523 12,313,570 6,156,785 18,470,356 9,235,178 4,617,589 13,852,768 6,926,384 3,463,192 1,731,596 865,798 432,899 1,298,698 649,349 1,948,048 974,024 487,012 243,506 121,753 365,260 182,630 91,315 273,946 136,973 410,920 205,460 102,730 51,365 154,096 77,048 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715

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