λ
Match Zalai

572,976

24 × 32 × 23 × 173
Abundant Even Composite

572,976 factors as 2^4 × 3^2 × 23 × 173. Its 60 positive divisors give a proper-divisor sum of 1,109,952, so this integer is abundant. The Collatz stopping time is 97 steps.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 23 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 1,682,928
Proper Divisor Sum 1,109,952
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #572969 ← → #572993

Radix Representation

Decimal 572976
Binary 10001011111000110000 (20 bits)
Octal 0o2137060
Hexadecimal 0x8BE30

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (97 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

572,976 286,488 143,244 71,622 35,811

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