λ
Harmonic Matrix

6,259,032

23 × 34 × 13 × 743
Abundant Even Composite

6,259,032 has digital root 9. The neighboring primes are 6259003 and 6259039; its proper-divisor sum differs from the starting integer by 6,386,976.

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Prime Factor Structure

Factorization String 2^3 × 3^4 × 13 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 18,905,040
Proper Divisor Sum 12,646,008
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6259003 ← → #6259039

Radix Representation

Decimal 6259032
Binary 10111111000000101011000 (23 bits)
Octal 0o27700530
Hexadecimal 0x5F8158

Divisor Catalog (5 of 80)

1 2 3 4 6

Collatz Trajectory (108 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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