312,587

11 × 157 × 181

312,587 factors as 11 × 157 × 181. Its 8 positive divisors give a proper-divisor sum of 32,485, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 11 × 157 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 345,072

Proper Divisor Sum 32,485

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #312583 ← → #312589

Radix Representation

Decimal	312587
Binary	1001100010100001011 (19 bits)
Octal	0o1142413
Hexadecimal	0x4C50B

Divisor Catalog (8)

1 11 157 181 1,727 1,991 28,417 312,587

Collatz Trajectory (109 steps to reach 1)

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

312,587 937,762 468,881 1,406,644 703,322 351,661 1,054,984 527,492 263,746 131,873 395,620 197,810 98,905 296,716 148,358 74,179 222,538 111,269 333,808 166,904 83,452 41,726 20,863 62,590 31,295 93,886 46,943 140,830 70,415 211,246 105,623 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906

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