λ
Zalai Atlas

472,560

24 × 3 × 5 × 11 × 179
Abundant Even Composite

472,560 has the prime decomposition 2^4 × 3 × 5 × 11 × 179. Its 5 distinct prime factors produce 80 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,607,040
Proper Divisor Sum 1,134,480
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #472559 ← → #472561

Radix Representation

Decimal 472560
Binary 1110011010111110000 (19 bits)
Octal 0o1632760
Hexadecimal 0x735F0

Divisor Catalog (5 of 80)

1 2 3 4 5

Collatz Trajectory (200 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.

472,560 236,280 118,140 59,070 29,535

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