λ
Harmonic Matrix

9,965,318

2 × 112 × 41179
Deficient Even Composite

9,965,318 has digital root 5. The neighboring primes are 9965311 and 9965339; its proper-divisor sum differs from the starting integer by -3,499,816.

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Prime Factor Structure

Factorization String 2 × 11^2 × 41179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,430,820
Proper Divisor Sum 6,465,502
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9965311 ← → #9965339

Radix Representation

Decimal 9965318
Binary 100110000000111100000110 (24 bits)
Octal 0o46007406
Hexadecimal 0x980F06

Divisor Catalog (5 of 12)

1 2 11 22 121

Collatz Trajectory (137 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.

9,965,318 4,982,659 14,947,978 7,473,989 22,421,968

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