λ
Zalai Atlas

508,963

72 × 13 × 17 × 47
Deficient Odd Composite

508,963 has the prime decomposition 7^2 × 13 × 17 × 47. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 7^2 × 13 × 17 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 689,472
Proper Divisor Sum 180,509
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #508961 ← → #508969

Radix Representation

Decimal 508963
Binary 1111100010000100011 (19 bits)
Octal 0o1742043
Hexadecimal 0x7C423

Divisor Catalog (5 of 24)

1 7 13 17 47

Collatz Trajectory (107 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.

508,963 1,526,890 763,445 2,290,336 1,145,168

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