λ
Ratio Atlas

461,832

23 × 3 × 7 × 2749
Abundant Even Composite

461,832 factors as 2^3 × 3 × 7 × 2749. Its 32 positive divisors give a proper-divisor sum of 858,168, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 2749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,320,000
Proper Divisor Sum 858,168
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #461819 ← → #461843

Radix Representation

Decimal 461832
Binary 1110000110000001000 (19 bits)
Octal 0o1606010
Hexadecimal 0x70C08

Divisor Catalog (32)

Collatz Trajectory (76 steps to reach 1)

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

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