317,655

3³ × 5 × 13 × 181

317,655 factors as 3^3 × 5 × 13 × 181. Its 32 positive divisors give a proper-divisor sum of 293,865, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 13 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 611,520

Proper Divisor Sum 293,865

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #317651 ← → #317663

Radix Representation

Decimal	317655
Binary	1001101100011010111 (19 bits)
Octal	0o1154327
Hexadecimal	0x4D8D7

Divisor Catalog (32)

1 3 5 9 13 15 27 39 45 65 117 135 181 195 351 543 585 905 1,629 1,755 2,353 2,715 4,887 7,059 8,145 11,765 21,177 24,435 35,295 63,531 105,885 317,655

Collatz Trajectory (140 steps to reach 1)

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

317,655 952,966 476,483 1,429,450 714,725 2,144,176 1,072,088 536,044 268,022 134,011 402,034 201,017 603,052 301,526 150,763 452,290 226,145 678,436 339,218 169,609 508,828 254,414 127,207 381,622 190,811 572,434 286,217 858,652 429,326 214,663 643,990 321,995 965,986 482,993 1,448,980 724,490 362,245 1,086,736 543,368 271,684 135,842 67,921 203,764 101,882 50,941 152,824 76,412 38,206 19,103 57,310 28,655 85,966 42,983 128,950 64,475 193,426 96,713 290,140 145,070 72,535

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