113,865

3 × 5 × 7591

113,865 factors as 3 × 5 × 7591. Its 8 positive divisors give a proper-divisor sum of 68,343, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 182,208

Proper Divisor Sum 68,343

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #113843 ← → #113891

Radix Representation

Decimal	113865
Binary	11011110011001001 (17 bits)
Octal	0o336311
Hexadecimal	0x1BCC9

Divisor Catalog (8)

1 3 5 15 7,591 22,773 37,955 113,865

Collatz Trajectory (92 steps to reach 1)

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

113,865 341,596 170,798 85,399 256,198 128,099 384,298 192,149 576,448 288,224 144,112 72,056 36,028 18,014 9,007 27,022 13,511 40,534 20,267 60,802 30,401 91,204 45,602 22,801 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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