λ
Harmonic Matrix

7,599,672

23 × 32 × 59 × 1789
Abundant Even Composite

7,599,672 has digital root 9. The neighboring primes are 7599661 and 7599673; its proper-divisor sum differs from the starting integer by 5,743,656.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 59 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,943,000
Proper Divisor Sum 13,343,328
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7599661 ← → #7599673

Radix Representation

Decimal 7599672
Binary 11100111111011000111000 (23 bits)
Octal 0o34773070
Hexadecimal 0x73F638

Divisor Catalog (5 of 48)

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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