λ
Harmonic Matrix

7,196,580

22 × 33 × 5 × 13327
Abundant Even Composite

7,196,580 has digital root 9. The neighboring primes are 7196569 and 7196591; its proper-divisor sum differs from the starting integer by 7,997,880.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,391,040
Proper Divisor Sum 15,194,460
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7196569 ← → #7196591

Radix Representation

Decimal 7196580
Binary 11011011100111110100100 (23 bits)
Octal 0o33347644
Hexadecimal 0x6DCFA4

Divisor Catalog (5 of 48)

1 2 3 4 5

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.

7,196,580 3,598,290 1,799,145 5,397,436 2,698,718

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