λ
Match Zalai

479,720

23 × 5 × 67 × 179
Abundant Even Composite

479,720 factors as 2^3 × 5 × 67 × 179. Its 32 positive divisors give a proper-divisor sum of 621,880, so this integer is abundant. The Collatz stopping time is 76 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 67 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,101,600
Proper Divisor Sum 621,880
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #479701 ← → #479749

Radix Representation

Decimal 479720
Binary 1110101000111101000 (19 bits)
Octal 0o1650750
Hexadecimal 0x751E8

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (76 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.

479,720 239,860 119,930 59,965 179,896

More profiles

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