λ
Harmonic Matrix

9,924,352

28 × 38767
Deficient Even Composite

9,924,352 has digital root 7. The neighboring primes are 9924347 and 9924353; its proper-divisor sum differs from the starting integer by -38,256.

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Prime Factor Structure

Factorization String 2^8 × 38767
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 19,810,448
Proper Divisor Sum 9,886,096
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9924347 ← → #9924353

Radix Representation

Decimal 9924352
Binary 100101110110111100000000 (24 bits)
Octal 0o45667400
Hexadecimal 0x976F00

Divisor Catalog (5 of 18)

1 2 4 8 16

Collatz Trajectory (163 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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