λ
Match Zalai

5,308,660

22 × 5 × 72 × 5417
Abundant Even Composite

5,308,660 factors as 2^2 × 5 × 7^2 × 5417. Its 36 positive divisors give a proper-divisor sum of 7,662,032, so this integer is abundant. The Collatz stopping time is 95 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 5417
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,970,692
Proper Divisor Sum 7,662,032
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5308637 ← → #5308663

Radix Representation

Decimal 5308660
Binary 10100010000000011110100 (23 bits)
Octal 0o24200364
Hexadecimal 0x5100F4

Divisor Catalog (5 of 36)

1 2 4 5 7

Collatz Trajectory (95 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.

5,308,660 2,654,330 1,327,165 3,981,496 1,990,748

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