317,535

3 × 5 × 21169

317,535 factors as 3 × 5 × 21169. Its 8 positive divisors give a proper-divisor sum of 190,545, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 3 × 5 × 21169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 508,080

Proper Divisor Sum 190,545

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #317503 ← → #317539

Radix Representation

Decimal	317535
Binary	1001101100001011111 (19 bits)
Octal	0o1154137
Hexadecimal	0x4D85F

Divisor Catalog (8)

1 3 5 15 21,169 63,507 105,845 317,535

Collatz Trajectory (78 steps to reach 1)

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

317,535 952,606 476,303 1,428,910 714,455 2,143,366 1,071,683 3,215,050 1,607,525 4,822,576 2,411,288 1,205,644 602,822 301,411 904,234 452,117 1,356,352 678,176 339,088 169,544 84,772 42,386 21,193 63,580 31,790 15,895 47,686 23,843 71,530 35,765 107,296 53,648 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56

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