31,455,466

2 × 7 × 233 × 9643

31,455,466 factors as 2 × 7 × 233 × 9643. Its 16 positive divisors give a proper-divisor sum of 22,705,238, so this integer is deficient. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2 × 7 × 233 × 9643

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 54,160,704

Proper Divisor Sum 22,705,238

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #31455449 ← → #31455499

Radix Representation

Decimal	31455466
Binary	1110111111111100011101010 (25 bits)
Octal	0o167774352
Hexadecimal	0x1DFF8EA

Divisor Catalog (16)

1 2 7 14 233 466 1,631 3,262 9,643 19,286 67,501 135,002 2,246,819 4,493,638 15,727,733 31,455,466

Collatz Trajectory (250 steps to reach 1)

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

31,455,466 15,727,733 47,183,200 23,591,600 11,795,800 5,897,900 2,948,950 1,474,475 4,423,426 2,211,713 6,635,140 3,317,570 1,658,785 4,976,356 2,488,178 1,244,089 3,732,268 1,866,134 933,067 2,799,202 1,399,601 4,198,804 2,099,402 1,049,701 3,149,104 1,574,552 787,276 393,638 196,819 590,458 295,229 885,688 442,844 221,422 110,711 332,134 166,067 498,202 249,101 747,304 373,652 186,826 93,413 280,240 140,120 70,060 35,030 17,515 52,546 26,273 78,820 39,410 19,705 59,116 29,558 14,779 44,338 22,169 66,508 33,254

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