λ
Integer Codex

132,882

2 × 3 × 22147
Abundant Even Composite

For 132,882, the 8 positive divisors have a total of 265,776. Removing 132,882 leaves 132,894, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 22147
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 265,776
Proper Divisor Sum 132,894
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #132863 ← → #132887

Radix Representation

Decimal 132882
Binary 100000011100010010 (18 bits)
Octal 0o403422
Hexadecimal 0x20712

Divisor Catalog (8)

1 2 3 6 22,147 44,294 66,441 132,882

Collatz Trajectory (193 steps to reach 1)

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

132,882 66,441 199,324 99,662 49,831 149,494 74,747 224,242 112,121 336,364 168,182 84,091 252,274 126,137 378,412 189,206 94,603 283,810 141,905 425,716 212,858 106,429 319,288 159,644 79,822 39,911 119,734 59,867 179,602 89,801 269,404 134,702 67,351 202,054 101,027 303,082 151,541 454,624 227,312 113,656 56,828 28,414 14,207 42,622 21,311 63,934 31,967 95,902 47,951 143,854 71,927 215,782 107,891 323,674 161,837 485,512 242,756 121,378 60,689 182,068

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