λ
Harmonic Matrix

3,263,120

24 × 5 × 7 × 5827
Abundant Even Composite

3,263,120 has digital root 8. The neighboring primes are 3263119 and 3263123; its proper-divisor sum differs from the starting integer by 2,145,824.

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Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 5827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,672,064
Proper Divisor Sum 5,408,944
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3263119 ← → #3263123

Radix Representation

Decimal 3263120
Binary 1100011100101010010000 (22 bits)
Octal 0o14345220
Hexadecimal 0x31CA90

Divisor Catalog (5 of 40)

1 2 4 5 7

Collatz Trajectory (208 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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