λ
Harmonic Matrix

9,784,044

22 × 33 × 17 × 732
Abundant Even Composite

9,784,044 has digital root 9. The neighboring primes are 9784009 and 9784051; its proper-divisor sum differs from the starting integer by 7,663,032.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 73^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 27,231,120
Proper Divisor Sum 17,447,076
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9784009 ← → #9784051

Radix Representation

Decimal 9784044
Binary 100101010100101011101100 (24 bits)
Octal 0o45245354
Hexadecimal 0x954AEC

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (251 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.

9,784,044 4,892,022 2,446,011 7,338,034 3,669,017

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