λ
Harmonic Matrix

7,587,990

2 × 32 × 5 × 59 × 1429
Abundant Even Composite

7,587,990 has digital root 9. The neighboring primes are 7587977 and 7587991; its proper-divisor sum differs from the starting integer by 4,901,220.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 59 × 1429
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,077,200
Proper Divisor Sum 12,489,210
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7587977 ← → #7587991

Radix Representation

Decimal 7587990
Binary 11100111100100010010110 (23 bits)
Octal 0o34744226
Hexadecimal 0x73C896

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (173 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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