λ
Harmonic Matrix

8,364,340

22 × 5 × 17 × 73 × 337
Abundant Even Composite

8,364,340 has digital root 1. The neighboring primes are 8364329 and 8364359; its proper-divisor sum differs from the starting integer by 2,180,392.

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Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 73 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,909,072
Proper Divisor Sum 10,544,732
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8364329 ← → #8364359

Radix Representation

Decimal 8364340
Binary 11111111010000100110100 (23 bits)
Octal 0o37720464
Hexadecimal 0x7FA134

Divisor Catalog (5 of 48)

1 2 4 5 10

Collatz Trajectory (75 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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