λ
Harmonic Matrix

9,116,688

24 × 3 × 7 × 43 × 631
Abundant Even Composite

9,116,688 has digital root 3. The neighboring primes are 9116663 and 9116707; its proper-divisor sum differs from the starting integer by 9,352,160.

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Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 43 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 27,585,536
Proper Divisor Sum 18,468,848
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9116663 ← → #9116707

Radix Representation

Decimal 9116688
Binary 100010110001110000010000 (24 bits)
Octal 0o42616020
Hexadecimal 0x8B1C10

Divisor Catalog (5 of 80)

1 2 3 4 6

Collatz Trajectory (181 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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