λ
Harmonic Matrix

9,668,736

27 × 32 × 7 × 11 × 109
Abundant Even Composite

9,668,736 has digital root 9. The neighboring primes are 9668719 and 9668741; its proper-divisor sum differs from the starting integer by 15,668,928.

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Prime Factor Structure

Factorization String 2^7 × 3^2 × 7 × 11 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 35,006,400
Proper Divisor Sum 25,337,664
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9668719 ← → #9668741

Radix Representation

Decimal 9668736
Binary 100100111000100010000000 (24 bits)
Octal 0o44704200
Hexadecimal 0x938880

Divisor Catalog (5 of 192)

1 2 3 4 6

Collatz Trajectory (114 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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