λ
Prime Ledger

129,142

2 × 13 × 4967
Deficient Even Composite

129,142 has the prime decomposition 2 × 13 × 4967. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 4967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 208,656
Proper Divisor Sum 79,514
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #129127 ← → #129169

Radix Representation

Decimal 129142
Binary 11111100001110110 (17 bits)
Octal 0o374166
Hexadecimal 0x1F876

Divisor Catalog (8)

1 2 13 26 4,967 9,934 64,571 129,142

Collatz Trajectory (162 steps to reach 1)

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

129,142 64,571 193,714 96,857 290,572 145,286 72,643 217,930 108,965 326,896 163,448 81,724 40,862 20,431 61,294 30,647 91,942 45,971 137,914 68,957 206,872 103,436 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918

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