λ
Harmonic Matrix

6,846,680

23 × 5 × 171167
Abundant Even Composite

6,846,680 has digital root 2. The neighboring primes are 6846677 and 6846683; its proper-divisor sum differs from the starting integer by 1,711,760.

Prime Factor Structure

Factorization String 2^3 × 5 × 171167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,405,120
Proper Divisor Sum 8,558,440
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6846677 ← → #6846683

Radix Representation

Decimal 6846680
Binary 11010000111100011011000 (23 bits)
Octal 0o32074330
Hexadecimal 0x6878D8

Divisor Catalog (16)

Collatz Trajectory (129 steps to reach 1)

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

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