625,352

2³ × 7 × 13 × 859

625,352 factors as 2^3 × 7 × 13 × 859. Its 32 positive divisors give a proper-divisor sum of 819,448, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 859

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,444,800

Proper Divisor Sum 819,448

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #625351 ← → #625367

Radix Representation

Decimal	625352
Binary	10011000101011001000 (20 bits)
Octal	0o2305310
Hexadecimal	0x98AC8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 859 1,718 3,436 6,013 6,872 11,167 12,026 22,334 24,052 44,668 48,104 78,169 89,336 156,338 312,676 625,352

Collatz Trajectory (172 steps to reach 1)

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

625,352 312,676 156,338 78,169 234,508 117,254 58,627 175,882 87,941 263,824 131,912 65,956 32,978 16,489 49,468 24,734 12,367 37,102 18,551 55,654 27,827 83,482 41,741 125,224 62,612 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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