λ
Harmonic Matrix

9,793,434

2 × 3 × 72 × 33311
Abundant Even Composite

9,793,434 has digital root 3. The neighboring primes are 9793397 and 9793439; its proper-divisor sum differs from the starting integer by 3,198,540.

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Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 33311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,785,408
Proper Divisor Sum 12,991,974
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9793397 ← → #9793439

Radix Representation

Decimal 9793434
Binary 100101010110111110011010 (24 bits)
Octal 0o45267632
Hexadecimal 0x956F9A

Divisor Catalog (5 of 24)

1 2 3 6 7

Collatz Trajectory (207 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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