λ
Prime Ledger

125,268

22 × 3 × 11 × 13 × 73
Abundant Even Composite

125,268 has the prime decomposition 2^2 × 3 × 11 × 13 × 73. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 348,096
Proper Divisor Sum 222,828
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #125261 ← → #125269

Radix Representation

Decimal 125268
Binary 11110100101010100 (17 bits)
Octal 0o364524
Hexadecimal 0x1E954

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (56 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.

125,268 62,634 31,317 93,952 46,976

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