123,591

3 × 13 × 3169

123,591 factors as 3 × 13 × 3169. Its 8 positive divisors give a proper-divisor sum of 53,929, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3 × 13 × 3169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 177,520

Proper Divisor Sum 53,929

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #123583 ← → #123593

Radix Representation

Decimal	123591
Binary	11110001011000111 (17 bits)
Octal	0o361307
Hexadecimal	0x1E2C7

Divisor Catalog (8)

1 3 13 39 3,169 9,507 41,197 123,591

Collatz Trajectory (87 steps to reach 1)

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

123,591 370,774 185,387 556,162 278,081 834,244 417,122 208,561 625,684 312,842 156,421 469,264 234,632 117,316 58,658 29,329 87,988 43,994 21,997 65,992 32,996 16,498 8,249 24,748 12,374 6,187 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131

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