31,685,188

2² × 263 × 30119

31,685,188 factors as 2^2 × 263 × 30119. Its 12 positive divisors give a proper-divisor sum of 23,976,572, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 263 × 30119

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 55,661,760

Proper Divisor Sum 23,976,572

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #31685119 ← → #31685201

Radix Representation

Decimal	31685188
Binary	1111000110111101001000100 (25 bits)
Octal	0o170675104
Hexadecimal	0x1E37A44

Divisor Catalog (12)

1 2 4 263 526 1,052 30,119 60,238 120,476 7,921,297 15,842,594 31,685,188

Collatz Trajectory (170 steps to reach 1)

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

31,685,188 15,842,594 7,921,297 23,763,892 11,881,946 5,940,973 17,822,920 8,911,460 4,455,730 2,227,865 6,683,596 3,341,798 1,670,899 5,012,698 2,506,349 7,519,048 3,759,524 1,879,762 939,881 2,819,644 1,409,822 704,911 2,114,734 1,057,367 3,172,102 1,586,051 4,758,154 2,379,077 7,137,232 3,568,616 1,784,308 892,154 446,077 1,338,232 669,116 334,558 167,279 501,838 250,919 752,758 376,379 1,129,138 564,569 1,693,708 846,854 423,427 1,270,282 635,141 1,905,424 952,712 476,356 238,178 119,089 357,268 178,634 89,317 267,952 133,976 66,988 33,494

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