λ
Harmonic Matrix

509,975

52 × 20399
Deficient Odd Composite

509,975 has digital root 8. The neighboring primes are 509963 and 509989; its proper-divisor sum differs from the starting integer by -387,550.

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Prime Factor Structure

Factorization String 5^2 × 20399
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 632,400
Proper Divisor Sum 122,425
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #509963 ← → #509989

Radix Representation

Decimal 509975
Binary 1111100100000010111 (19 bits)
Octal 0o1744027
Hexadecimal 0x7C817

Divisor Catalog (5 of 6)

Collatz Trajectory (58 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.

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