λ
Ratio Atlas

27,732,132

22 × 35 × 103 × 277
Abundant Even Composite

27,732,132 factors as 2^2 × 3^5 × 103 × 277. Its 72 positive divisors give a proper-divisor sum of 45,935,644, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 103 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 73,667,776
Proper Divisor Sum 45,935,644
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #27732109 ← → #27732137

Radix Representation

Decimal 27732132
Binary 1101001110010100010100100 (25 bits)
Octal 0o151624244
Hexadecimal 0x1A728A4

Divisor Catalog (60 of 72)

Collatz Trajectory (193 steps to reach 1)

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

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