λ
Harmonic Matrix

7,131,618

2 × 33 × 13 × 10159
Abundant Even Composite

7,131,618 has digital root 9. The neighboring primes are 7131613 and 7131623; its proper-divisor sum differs from the starting integer by 2,805,564.

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Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 10159
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,068,800
Proper Divisor Sum 9,937,182
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7131613 ← → #7131623

Radix Representation

Decimal 7131618
Binary 11011001101000111100010 (23 bits)
Octal 0o33150742
Hexadecimal 0x6CD1E2

Divisor Catalog (5 of 32)

1 2 3 6 9

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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