λ
Ratio Atlas

135,424

28 × 232
Abundant Even Composite Square (√ = 368)

135,424 factors as 2^8 × 23^2. Its 27 positive divisors give a proper-divisor sum of 147,159, so this integer is abundant. The Collatz stopping time is 38 steps.

Prime Factor Structure

Factorization String 2^8 × 23^2
Distinct Prime Factors 2
Square Status Yes (√135424 = 368)
Abundance Measure Abundant

Analytical Properties

Total Divisors 27
Divisor Sum (σ) 282,583
Proper Divisor Sum 147,159
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #135409 ← → #135427

Radix Representation

Decimal 135424
Binary 100001000100000000 (18 bits)
Octal 0o410400
Hexadecimal 0x21100

Divisor Catalog (27)

Collatz Trajectory (38 steps to reach 1)

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

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