λ
Ratio Atlas

13,675,136

27 × 19 × 5623
Abundant Even Composite

13,675,136 factors as 2^7 × 19 × 5623. Its 32 positive divisors give a proper-divisor sum of 15,007,264, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^7 × 19 × 5623
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,682,400
Proper Divisor Sum 15,007,264
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #13675091 ← → #13675177

Radix Representation

Decimal 13675136
Binary 110100001010101010000000 (24 bits)
Octal 0o64125200
Hexadecimal 0xD0AA80

Divisor Catalog (32)

Collatz Trajectory (148 steps to reach 1)

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

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