λ
Harmonic Matrix

688,525

52 × 27541
Deficient Odd Composite

688,525 has digital root 7. The neighboring primes are 688511 and 688531; its proper-divisor sum differs from the starting integer by -523,248.

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Prime Factor Structure

Factorization String 5^2 × 27541
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 853,802
Proper Divisor Sum 165,277
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #688511 ← → #688531

Radix Representation

Decimal 688525
Binary 10101000000110001101 (20 bits)
Octal 0o2500615
Hexadecimal 0xA818D

Divisor Catalog (5 of 6)

Collatz Trajectory (198 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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