λ
Ratio Atlas

478,380

22 × 3 × 5 × 7 × 17 × 67
Abundant Even Composite

478,380 factors as 2^2 × 3 × 5 × 7 × 17 × 67. Its 96 positive divisors give a proper-divisor sum of 1,166,676, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 17 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,645,056
Proper Divisor Sum 1,166,676
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #478351 ← → #478391

Radix Representation

Decimal 478380
Binary 1110100110010101100 (19 bits)
Octal 0o1646254
Hexadecimal 0x74CAC

Divisor Catalog (60 of 96)

Collatz Trajectory (76 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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