λ
Harmonic Matrix

9,680,010

2 × 3 × 5 × 23 × 14029
Abundant Even Composite

9,680,010 has digital root 6. The neighboring primes are 9680003 and 9680023; its proper-divisor sum differs from the starting integer by 4,883,820.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 14029
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,243,840
Proper Divisor Sum 14,563,830
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9680003 ← → #9680023

Radix Representation

Decimal 9680010
Binary 100100111011010010001010 (24 bits)
Octal 0o44732212
Hexadecimal 0x93B48A

Divisor Catalog (5 of 32)

1 2 3 5 6

Collatz Trajectory (75 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.

9,680,010 4,840,005 14,520,016 7,260,008 3,630,004

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