λ
Integer Codex

82,456

23 × 11 × 937
Abundant Even Composite

For 82,456, the 16 positive divisors have a total of 168,840. Removing 82,456 leaves 86,384, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^3 × 11 × 937
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 168,840
Proper Divisor Sum 86,384
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #82421 ← → #82457

Radix Representation

Decimal 82456
Binary 10100001000011000 (17 bits)
Octal 0o241030
Hexadecimal 0x14218

Divisor Catalog (5 of 16)

1 2 4 8 11

Collatz Trajectory (151 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

82,456 41,228 20,614 10,307 30,922

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