λ
Match Zalai

5,078,800

24 × 52 × 12697
Abundant Even Composite

5,078,800 factors as 2^4 × 5^2 × 12697. Its 30 positive divisors give a proper-divisor sum of 7,123,978, so this integer is abundant. The Collatz stopping time is 157 steps.

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Prime Factor Structure

Factorization String 2^4 × 5^2 × 12697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 12,202,778
Proper Divisor Sum 7,123,978
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5078797 ← → #5078807

Radix Representation

Decimal 5078800
Binary 10011010111111100010000 (23 bits)
Octal 0o23277420
Hexadecimal 0x4D7F10

Divisor Catalog (5 of 30)

1 2 4 5 8

Collatz Trajectory (157 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.

5,078,800 2,539,400 1,269,700 634,850 317,425

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