λ
Harmonic Matrix

9,737,448

23 × 3 × 7 × 149 × 389
Abundant Even Composite

9,737,448 has digital root 6. The neighboring primes are 9737423 and 9737467; its proper-divisor sum differs from the starting integer by 8,605,104.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 149 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,080,000
Proper Divisor Sum 18,342,552
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9737423 ← → #9737467

Radix Representation

Decimal 9737448
Binary 100101001001010011101000 (24 bits)
Octal 0o45112350
Hexadecimal 0x9494E8

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (70 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.

9,737,448 4,868,724 2,434,362 1,217,181 3,651,544

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