λ
Harmonic Matrix

9,479,106

2 × 34 × 7 × 13 × 643
Abundant Even Composite

9,479,106 has digital root 9. The neighboring primes are 9479089 and 9479111; its proper-divisor sum differs from the starting integer by 7,224,252.

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Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 13 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 26,182,464
Proper Divisor Sum 16,703,358
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9479089 ← → #9479111

Radix Representation

Decimal 9479106
Binary 100100001010001111000010 (24 bits)
Octal 0o44121702
Hexadecimal 0x90A3C2

Divisor Catalog (5 of 80)

1 2 3 6 7

Collatz Trajectory (269 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.

9,479,106 4,739,553 14,218,660 7,109,330 3,554,665

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