λ
Harmonic Matrix

9,512,680

23 × 5 × 163 × 1459
Abundant Even Composite

9,512,680 has digital root 4. The neighboring primes are 9512677 and 9512687; its proper-divisor sum differs from the starting integer by 2,524,240.

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Prime Factor Structure

Factorization String 2^3 × 5 × 163 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,549,600
Proper Divisor Sum 12,036,920
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9512677 ← → #9512687

Radix Representation

Decimal 9512680
Binary 100100010010011011101000 (24 bits)
Octal 0o44223350
Hexadecimal 0x9126E8

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (124 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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