λ
Harmonic Matrix

9,112,727

13 × 59 × 1092
Deficient Odd Composite

9,112,727 has digital root 2. The neighboring primes are 9112721 and 9112759; its proper-divisor sum differs from the starting integer by -8,153,014.

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Prime Factor Structure

Factorization String 13 × 59 × 109^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,072,440
Proper Divisor Sum 959,713
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9112721 ← → #9112759

Radix Representation

Decimal 9112727
Binary 100010110000110010010111 (24 bits)
Octal 0o42606227
Hexadecimal 0x8B0C97

Divisor Catalog (5 of 12)

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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