λ
Harmonic Matrix

9,702,444

22 × 3 × 17 × 199 × 239
Abundant Even Composite

9,702,444 has digital root 3. The neighboring primes are 9702437 and 9702449; its proper-divisor sum differs from the starting integer by 4,787,112.

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Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 199 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,192,000
Proper Divisor Sum 14,489,556
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9702437 ← → #9702449

Radix Representation

Decimal 9702444
Binary 100101000000110000101100 (24 bits)
Octal 0o45006054
Hexadecimal 0x940C2C

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (238 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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