λ
Matchaa Zalai

580,528

24 × 13 × 2791
Abundant Even Composite

580,528 factors as 2^4 × 13 × 2791. Its 20 positive divisors give a proper-divisor sum of 631,200, so this integer is abundant. The Collatz stopping time is 97 steps.

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Prime Factor Structure

Factorization String 2^4 × 13 × 2791
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,211,728
Proper Divisor Sum 631,200
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #580513 ← → #580529

Radix Representation

Decimal 580528
Binary 10001101101110110000 (20 bits)
Octal 0o2155660
Hexadecimal 0x8DBB0

Divisor Catalog (5 of 20)

1 2 4 8 13

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.

580,528 290,264 145,132 72,566 36,283

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