λ
Harmonic Matrix

9,189,223

61 × 199 × 757
Deficient Odd Composite

9,189,223 has digital root 7. The neighboring primes are 9189221 and 9189227; its proper-divisor sum differs from the starting integer by -8,979,246.

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Prime Factor Structure

Factorization String 61 × 199 × 757
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,399,200
Proper Divisor Sum 209,977
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9189221 ← → #9189227

Radix Representation

Decimal 9189223
Binary 100011000011011101100111 (24 bits)
Octal 0o43033547
Hexadecimal 0x8C3767

Divisor Catalog (5 of 8)

Collatz Trajectory (106 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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