λ
Harmonic Matrix

9,117,120

26 × 3 × 5 × 9497
Abundant Even Composite

9,117,120 has digital root 3. The neighboring primes are 9117109 and 9117137; its proper-divisor sum differs from the starting integer by 10,715,664.

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Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 9497
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 28,949,904
Proper Divisor Sum 19,832,784
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9117109 ← → #9117137

Radix Representation

Decimal 9117120
Binary 100010110001110111000000 (24 bits)
Octal 0o42616700
Hexadecimal 0x8B1DC0

Divisor Catalog (5 of 56)

1 2 3 4 5

Collatz Trajectory (225 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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