λ
Integer Codex

138,060

22 × 32 × 5 × 13 × 59
Abundant Even Composite

For 138,060, the 72 positive divisors have a total of 458,640. Removing 138,060 leaves 320,580, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 458,640
Proper Divisor Sum 320,580
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #138059 ← → #138071

Radix Representation

Decimal 138060
Binary 100001101101001100 (18 bits)
Octal 0o415514
Hexadecimal 0x21B4C

Divisor Catalog (5 of 72)

1 2 3 4 5

Collatz Trajectory (175 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.

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