λ
Harmonic Matrix

659,725

52 × 11 × 2399
Deficient Odd Composite

659,725 has digital root 7. The neighboring primes are 659723 and 659741; its proper-divisor sum differs from the starting integer by -426,650.

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Prime Factor Structure

Factorization String 5^2 × 11 × 2399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 892,800
Proper Divisor Sum 233,075
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #659723 ← → #659741

Radix Representation

Decimal 659725
Binary 10100001000100001101 (20 bits)
Octal 0o2410415
Hexadecimal 0xA110D

Divisor Catalog (5 of 12)

1 5 11 25 55

Collatz Trajectory (216 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.

659,725 1,979,176 989,588 494,794 247,397

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