31,258,292

2² × 13 × 31 × 19391

31,258,292 factors as 2^2 × 13 × 31 × 19391. Its 24 positive divisors give a proper-divisor sum of 29,555,020, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 19391

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 60,813,312

Proper Divisor Sum 29,555,020

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #31258289 ← → #31258301

Radix Representation

Decimal	31258292
Binary	1110111001111011010110100 (25 bits)
Octal	0o167173264
Hexadecimal	0x1DCF6B4

Divisor Catalog (24)

Collatz Trajectory (131 steps to reach 1)

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

31,258,292 15,629,146 7,814,573 23,443,720 11,721,860 5,860,930 2,930,465 8,791,396 4,395,698 2,197,849 6,593,548 3,296,774 1,648,387 4,945,162 2,472,581 7,417,744 3,708,872 1,854,436 927,218 463,609 1,390,828 695,414 347,707 1,043,122 521,561 1,564,684 782,342 391,171 1,173,514 586,757 1,760,272 880,136 440,068 220,034 110,017 330,052 165,026 82,513 247,540 123,770 61,885 185,656 92,828 46,414 23,207 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268

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