λ
Prime Ledger

116,996

22 × 11 × 2659
Deficient Even Composite

116,996 has the prime decomposition 2^2 × 11 × 2659. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 2659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 223,440
Proper Divisor Sum 106,444
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #116993 ← → #117017

Radix Representation

Decimal 116996
Binary 11100100100000100 (17 bits)
Octal 0o344404
Hexadecimal 0x1C904

Divisor Catalog (12)

1 2 4 11 22 44 2,659 5,318 10,636 29,249 58,498 116,996

Collatz Trajectory (48 steps to reach 1)

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

116,996 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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