λ
Match Zalai

78,580

22 × 5 × 3929
Abundant Even Composite

78,580 factors as 2^2 × 5 × 3929. Its 12 positive divisors give a proper-divisor sum of 86,480, so this integer is abundant. The Collatz stopping time is 125 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 3929
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 165,060
Proper Divisor Sum 86,480
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #78577 ← → #78583

Radix Representation

Decimal 78580
Binary 10011001011110100 (17 bits)
Octal 0o231364
Hexadecimal 0x132F4

Divisor Catalog (5 of 12)

1 2 4 5 10

Collatz Trajectory (125 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.

78,580 39,290 19,645 58,936 29,468

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