λ
Integer Codex

272,256

27 × 3 × 709
Abundant Even Composite

For 272,256, the 32 positive divisors have a total of 724,200. Removing 272,256 leaves 451,944, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^7 × 3 × 709
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 724,200
Proper Divisor Sum 451,944
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #272249 ← → #272257

Radix Representation

Decimal 272256
Binary 1000010011110000000 (19 bits)
Octal 0o1023600
Hexadecimal 0x42780

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (83 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.

272,256 136,128 68,064 34,032 17,016

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