λ
Ratio Atlas

31,527,580

22 × 5 × 72 × 53 × 607
Abundant Even Composite

31,527,580 factors as 2^2 × 5 × 7^2 × 53 × 607. Its 72 positive divisors give a proper-divisor sum of 47,072,228, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 53 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 78,599,808
Proper Divisor Sum 47,072,228
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #31527577 ← → #31527583

Radix Representation

Decimal 31527580
Binary 1111000010001001010011100 (25 bits)
Octal 0o170211234
Hexadecimal 0x1E1129C

Divisor Catalog (60 of 72)

Collatz Trajectory (188 steps to reach 1)

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

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