λ
Harmonic Matrix

8,643,340

22 × 5 × 432167
Abundant Even Composite

8,643,340 has digital root 1. The neighboring primes are 8643337 and 8643343; its proper-divisor sum differs from the starting integer by 864,376.

Prime Factor Structure

Factorization String 2^2 × 5 × 432167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,151,056
Proper Divisor Sum 9,507,716
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8643337 ← → #8643343

Radix Representation

Decimal 8643340
Binary 100000111110001100001100 (24 bits)
Octal 0o40761414
Hexadecimal 0x83E30C

Divisor Catalog (12)

Collatz Trajectory (199 steps to reach 1)

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

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