λ
Harmonic Matrix

9,832,828

22 × 31 × 179 × 443
Deficient Even Composite

9,832,828 has digital root 4. The neighboring primes are 9832819 and 9832829; its proper-divisor sum differs from the starting integer by -1,763,576.

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Prime Factor Structure

Factorization String 2^2 × 31 × 179 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,902,080
Proper Divisor Sum 8,069,252
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9832819 ← → #9832829

Radix Representation

Decimal 9832828
Binary 100101100000100101111100 (24 bits)
Octal 0o45404574
Hexadecimal 0x96097C

Divisor Catalog (5 of 24)

1 2 4 31 62

Collatz Trajectory (145 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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