λ
Integer Codex

116,916

22 × 3 × 9743
Abundant Even Composite

For 116,916, the 12 positive divisors have a total of 272,832. Removing 116,916 leaves 155,916, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 9743
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 272,832
Proper Divisor Sum 155,916
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #116911 ← → #116923

Radix Representation

Decimal 116916
Binary 11100100010110100 (17 bits)
Octal 0o344264
Hexadecimal 0x1C8B4

Divisor Catalog (12)

1 2 3 4 6 12 9,743 19,486 29,229 38,972 58,458 116,916

Collatz Trajectory (48 steps to reach 1)

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

116,916 58,458 29,229 87,688 43,844 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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