32,787,988

2² × 61 × 83 × 1619

32,787,988 factors as 2^2 × 61 × 83 × 1619. Its 24 positive divisors give a proper-divisor sum of 26,270,732, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 83 × 1619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 59,058,720

Proper Divisor Sum 26,270,732

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #32787983 ← → #32788043

Radix Representation

Decimal	32787988
Binary	1111101000100111000010100 (25 bits)
Octal	0o175047024
Hexadecimal	0x1F44E14

Divisor Catalog (24)

Collatz Trajectory (263 steps to reach 1)

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

32,787,988 16,393,994 8,196,997 24,590,992 12,295,496 6,147,748 3,073,874 1,536,937 4,610,812 2,305,406 1,152,703 3,458,110 1,729,055 5,187,166 2,593,583 7,780,750 3,890,375 11,671,126 5,835,563 17,506,690 8,753,345 26,260,036 13,130,018 6,565,009 19,695,028 9,847,514 4,923,757 14,771,272 7,385,636 3,692,818 1,846,409 5,539,228 2,769,614 1,384,807 4,154,422 2,077,211 6,231,634 3,115,817 9,347,452 4,673,726 2,336,863 7,010,590 3,505,295 10,515,886 5,257,943 15,773,830 7,886,915 23,660,746 11,830,373 35,491,120 17,745,560 8,872,780 4,436,390 2,218,195 6,654,586 3,327,293 9,981,880 4,990,940 2,495,470 1,247,735

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