9,671,272

2³ × 13 × 92993

9,671,272 factors as 2^3 × 13 × 92993. Its 16 positive divisors give a proper-divisor sum of 9,857,468, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 92993

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,528,740

Proper Divisor Sum 9,857,468

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9671267 ← → #9671273

Radix Representation

Decimal	9671272
Binary	100100111001001001101000 (24 bits)
Octal	0o44711150
Hexadecimal	0x939268

Divisor Catalog (16)

1 2 4 8 13 26 52 104 92,993 185,986 371,972 743,944 1,208,909 2,417,818 4,835,636 9,671,272

Collatz Trajectory (238 steps to reach 1)

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

9,671,272 4,835,636 2,417,818 1,208,909 3,626,728 1,813,364 906,682 453,341 1,360,024 680,012 340,006 170,003 510,010 255,005 765,016 382,508 191,254 95,627 286,882 143,441 430,324 215,162 107,581 322,744 161,372 80,686 40,343 121,030 60,515 181,546 90,773 272,320 136,160 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357

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