317,884

2² × 7 × 11353

317,884 factors as 2^2 × 7 × 11353. Its 12 positive divisors give a proper-divisor sum of 317,940, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11353

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 635,824

Proper Divisor Sum 317,940

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #317857 ← → #317887

Radix Representation

Decimal	317884
Binary	1001101100110111100 (19 bits)
Octal	0o1154674
Hexadecimal	0x4D9BC

Divisor Catalog (12)

1 2 4 7 14 28 11,353 22,706 45,412 79,471 158,942 317,884

Collatz Trajectory (171 steps to reach 1)

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

317,884 158,942 79,471 238,414 119,207 357,622 178,811 536,434 268,217 804,652 402,326 201,163 603,490 301,745 905,236 452,618 226,309 678,928 339,464 169,732 84,866 42,433 127,300 63,650 31,825 95,476 47,738 23,869 71,608 35,804 17,902 8,951 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018

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