λ
Harmonic Matrix

7,628,508

22 × 32 × 29 × 7307
Abundant Even Composite

7,628,508 has digital root 9. The neighboring primes are 7628497 and 7628513; its proper-divisor sum differs from the starting integer by 4,693,824.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 7307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,950,840
Proper Divisor Sum 12,322,332
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7628497 ← → #7628513

Radix Representation

Decimal 7628508
Binary 11101000110011011011100 (23 bits)
Octal 0o35063334
Hexadecimal 0x7466DC

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (129 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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