λ
Harmonic Matrix

7,634,610

2 × 32 × 5 × 41 × 2069
Abundant Even Composite

7,634,610 has digital root 9. The neighboring primes are 7634603 and 7634623; its proper-divisor sum differs from the starting integer by 5,074,740.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 41 × 2069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,343,960
Proper Divisor Sum 12,709,350
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7634603 ← → #7634623

Radix Representation

Decimal 7634610
Binary 11101000111111010110010 (23 bits)
Octal 0o35077262
Hexadecimal 0x747EB2

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (217 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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