λ
Harmonic Matrix

687,530

2 × 5 × 197 × 349
Deficient Even Composite

687,530 has digital root 2. The neighboring primes are 687523 and 687541; its proper-divisor sum differs from the starting integer by -127,660.

Prime Factor Structure

Factorization String 2 × 5 × 197 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,247,400
Proper Divisor Sum 559,870
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #687523 ← → #687541

Radix Representation

Decimal 687530
Binary 10100111110110101010 (20 bits)
Octal 0o2476652
Hexadecimal 0xA7DAA

Divisor Catalog (16)

Collatz Trajectory (136 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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