312,416

2⁵ × 13 × 751

312,416 factors as 2^5 × 13 × 751. Its 24 positive divisors give a proper-divisor sum of 350,848, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 751

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 663,264

Proper Divisor Sum 350,848

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #312413 ← → #312427

Radix Representation

Decimal	312416
Binary	1001100010001100000 (19 bits)
Octal	0o1142140
Hexadecimal	0x4C460

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 751 1,502 3,004 6,008 9,763 12,016 19,526 24,032 39,052 78,104 156,208 312,416

Collatz Trajectory (140 steps to reach 1)

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

312,416 156,208 78,104 39,052 19,526 9,763 29,290 14,645 43,936 21,968 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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