32,365,136

2⁴ × 61 × 33161

32,365,136 factors as 2^4 × 61 × 33161. Its 20 positive divisors give a proper-divisor sum of 31,372,228, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 33161

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 63,737,364

Proper Divisor Sum 31,372,228

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #32365133 ← → #32365159

Radix Representation

Decimal	32365136
Binary	1111011011101101001010000 (25 bits)
Octal	0o173355120
Hexadecimal	0x1EDDA50

Divisor Catalog (20)

Collatz Trajectory (188 steps to reach 1)

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

32,365,136 16,182,568 8,091,284 4,045,642 2,022,821 6,068,464 3,034,232 1,517,116 758,558 379,279 1,137,838 568,919 1,706,758 853,379 2,560,138 1,280,069 3,840,208 1,920,104 960,052 480,026 240,013 720,040 360,020 180,010 90,005 270,016 135,008 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710

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