λ
Harmonic Matrix

686,882

2 × 72 × 43 × 163
Deficient Even Composite

686,882 has digital root 2. The neighboring primes are 686879 and 686891; its proper-divisor sum differs from the starting integer by -139,828.

Prime Factor Structure

Factorization String 2 × 7^2 × 43 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,233,936
Proper Divisor Sum 547,054
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #686879 ← → #686891

Radix Representation

Decimal 686882
Binary 10100111101100100010 (20 bits)
Octal 0o2475442
Hexadecimal 0xA7B22

Divisor Catalog (24)

Collatz Trajectory (53 steps to reach 1)

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

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