10,174,624

2⁵ × 317957

10,174,624 factors as 2^5 × 317957. Its 12 positive divisors give a proper-divisor sum of 9,856,730, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^5 × 317957

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,031,354

Proper Divisor Sum 9,856,730

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10174613 ← → #10174627

Radix Representation

Decimal	10174624
Binary	100110110100000010100000 (24 bits)
Octal	0o46640240
Hexadecimal	0x9B40A0

Divisor Catalog (12)

1 2 4 8 16 32 317,957 635,914 1,271,828 2,543,656 5,087,312 10,174,624

Collatz Trajectory (176 steps to reach 1)

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

10,174,624 5,087,312 2,543,656 1,271,828 635,914 317,957 953,872 476,936 238,468 119,234 59,617 178,852 89,426 44,713 134,140 67,070 33,535 100,606 50,303 150,910 75,455 226,366 113,183 339,550 169,775 509,326 254,663 763,990 381,995 1,145,986 572,993 1,718,980 859,490 429,745 1,289,236 644,618 322,309 966,928 483,464 241,732 120,866 60,433 181,300 90,650 45,325 135,976 67,988 33,994 16,997 50,992 25,496 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793

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