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Math Directory

504,545

5 × 19 × 47 × 113
Deficient Odd Composite

504,545 factors as 5 × 19 × 47 × 113. Its 16 positive divisors give a proper-divisor sum of 152,095, so this integer is deficient. The Collatz stopping time is 182 steps.

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Prime Factor Structure

Factorization String 5 × 19 × 47 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 656,640
Proper Divisor Sum 152,095
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #504527 ← → #504547

Radix Representation

Decimal 504545
Binary 1111011001011100001 (19 bits)
Octal 0o1731341
Hexadecimal 0x7B2E1

Divisor Catalog (5 of 16)

1 5 19 47 95

Collatz Trajectory (182 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.

504,545 1,513,636 756,818 378,409 1,135,228

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