λ
Ratio Atlas

13,781,632

27 × 67 × 1607
Abundant Even Composite

13,781,632 factors as 2^7 × 67 × 1607. Its 32 positive divisors give a proper-divisor sum of 14,101,088, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^7 × 67 × 1607
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,882,720
Proper Divisor Sum 14,101,088
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13781591 ← → #13781653

Radix Representation

Decimal 13781632
Binary 110100100100101010000000 (24 bits)
Octal 0o64445200
Hexadecimal 0xD24A80

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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