λ
Harmonic Matrix

8,388,340

22 × 5 × 419417
Abundant Even Composite

8,388,340 has digital root 7. The neighboring primes are 8388319 and 8388371; its proper-divisor sum differs from the starting integer by 838,876.

Prime Factor Structure

Factorization String 2^2 × 5 × 419417
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,615,556
Proper Divisor Sum 9,227,216
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8388319 ← → #8388371

Radix Representation

Decimal 8388340
Binary 11111111111111011110100 (23 bits)
Octal 0o37777364
Hexadecimal 0x7FFEF4

Divisor Catalog (12)

Collatz Trajectory (274 steps to reach 1)

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

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