113,976

2³ × 3² × 1583

For 113,976, the 24 positive divisors have a total of 308,880. Removing 113,976 leaves 194,904, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 1583

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 308,880

Proper Divisor Sum 194,904

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #113969 ← → #113983

Radix Representation

Decimal	113976
Binary	11011110100111000 (17 bits)
Octal	0o336470
Hexadecimal	0x1BD38

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 1,583 3,166 4,749 6,332 9,498 12,664 14,247 18,996 28,494 37,992 56,988 113,976

Collatz Trajectory (136 steps to reach 1)

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

113,976 56,988 28,494 14,247 42,742 21,371 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032

← Previous Integer #113,975 Browse Full Index Next Integer #113,977 →