λ
Ratio Atlas

477,600

25 × 3 × 52 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 1,562,400
Proper Divisor Sum 1,084,800
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #477593 ← → #477619

Radix Representation

Decimal 477600
Binary 1110100100110100000 (19 bits)
Octal 0o1644640
Hexadecimal 0x749A0

Divisor Catalog (60 of 72)

Collatz Trajectory (76 steps to reach 1)

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

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