λ
Ratio Atlas

685,152

25 × 33 × 13 × 61
Abundant Even Composite

685,152 factors as 2^5 × 3^3 × 13 × 61. Its 96 positive divisors give a proper-divisor sum of 1,502,208, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 13 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 2,187,360
Proper Divisor Sum 1,502,208
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #685141 ← → #685169

Radix Representation

Decimal 685152
Binary 10100111010001100000 (20 bits)
Octal 0o2472140
Hexadecimal 0xA7460

Divisor Catalog (60 of 96)

Collatz Trajectory (53 steps to reach 1)

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

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