λ
Modular Archive

96,108

22 × 3 × 8009
Abundant Even Composite

The decimal integer 96,108 is 10111011101101100 in binary (17 bits), 273554 in octal and 1776C in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^2 × 3 × 8009
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 224,280
Proper Divisor Sum 128,172
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #96097 ← → #96137

Radix Representation

Decimal 96108
Binary 10111011101101100 (17 bits)
Octal 0o273554
Hexadecimal 0x1776C

Divisor Catalog (12)

1 2 3 4 6 12 8,009 16,018 24,027 32,036 48,054 96,108

Collatz Trajectory (45 steps to reach 1)

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

96,108 48,054 24,027 72,082 36,041 108,124 54,062 27,031 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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