λ
Integer Codex

182,118

2 × 3 × 127 × 239
Abundant Even Composite

For 182,118, the 16 positive divisors have a total of 368,640. Removing 182,118 leaves 186,522, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 127 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 368,640
Proper Divisor Sum 186,522
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #182111 ← → #182123

Radix Representation

Decimal 182118
Binary 101100011101100110 (18 bits)
Octal 0o543546
Hexadecimal 0x2C766

Divisor Catalog (16)

1 2 3 6 127 239 254 381 478 717 762 1,434 30,353 60,706 91,059 182,118

Collatz Trajectory (178 steps to reach 1)

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

182,118 91,059 273,178 136,589 409,768 204,884 102,442 51,221 153,664 76,832 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160

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