10,256,624

2⁴ × 7 × 91577

10,256,624 factors as 2^4 × 7 × 91577. Its 20 positive divisors give a proper-divisor sum of 12,454,720, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 91577

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 22,711,344

Proper Divisor Sum 12,454,720

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #10256621 ← → #10256663

Radix Representation

Decimal	10256624
Binary	100111001000000011110000 (24 bits)
Octal	0o47100360
Hexadecimal	0x9C80F0

Divisor Catalog (20)

Collatz Trajectory (83 steps to reach 1)

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

10,256,624 5,128,312 2,564,156 1,282,078 641,039 1,923,118 961,559 2,884,678 1,442,339 4,327,018 2,163,509 6,490,528 3,245,264 1,622,632 811,316 405,658 202,829 608,488 304,244 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304

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