λ
Prime Ledger

129,376

25 × 13 × 311
Abundant Even Composite

129,376 has the prime decomposition 2^5 × 13 × 311. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 13 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 275,184
Proper Divisor Sum 145,808
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #129361 ← → #129379

Radix Representation

Decimal 129376
Binary 11111100101100000 (17 bits)
Octal 0o374540
Hexadecimal 0x1F960

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 311 416 622 1,244 2,488 4,043 4,976 8,086 9,952 16,172 32,344 64,688 129,376

Collatz Trajectory (30 steps to reach 1)

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

129,376 64,688 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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