λ
Harmonic Matrix

9,722,175

3 × 52 × 129629
Deficient Odd Composite

9,722,175 has digital root 6. The neighboring primes are 9722137 and 9722177; its proper-divisor sum differs from the starting integer by -3,370,230.

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Prime Factor Structure

Factorization String 3 × 5^2 × 129629
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,074,120
Proper Divisor Sum 6,351,945
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9722137 ← → #9722177

Radix Representation

Decimal 9722175
Binary 100101000101100100111111 (24 bits)
Octal 0o45054477
Hexadecimal 0x94593F

Divisor Catalog (5 of 12)

1 3 5 15 25

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.

9,722,175 29,166,526 14,583,263 43,749,790 21,874,895

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