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Zalai Atlas

459,927

32 × 13 × 3931
Deficient Odd Composite

459,927 has the prime decomposition 3^2 × 13 × 3931. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 13 × 3931
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 715,624
Proper Divisor Sum 255,697
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #459923 ← → #459929

Radix Representation

Decimal 459927
Binary 1110000010010010111 (19 bits)
Octal 0o1602227
Hexadecimal 0x70497

Divisor Catalog (5 of 12)

1 3 9 13 39

Collatz Trajectory (156 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.

459,927 1,379,782 689,891 2,069,674 1,034,837

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