λ
Harmonic Matrix

7,997,508

22 × 33 × 74051
Abundant Even Composite

7,997,508 has digital root 9. The neighboring primes are 7997489 and 7997519; its proper-divisor sum differs from the starting integer by 4,739,544.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 74051
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,734,560
Proper Divisor Sum 12,737,052
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7997489 ← → #7997519

Radix Representation

Decimal 7997508
Binary 11110100000100001000100 (23 bits)
Octal 0o36404104
Hexadecimal 0x7A0844

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (142 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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