λ
Ratio Atlas

462,944

25 × 17 × 23 × 37
Abundant Even Composite

462,944 factors as 2^5 × 17 × 23 × 37. Its 48 positive divisors give a proper-divisor sum of 571,264, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 23 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,034,208
Proper Divisor Sum 571,264
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #462937 ← → #462947

Radix Representation

Decimal 462944
Binary 1110001000001100000 (19 bits)
Octal 0o1610140
Hexadecimal 0x71060

Divisor Catalog (48)

Collatz Trajectory (169 steps to reach 1)

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

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