λ
Harmonic Matrix

6,109,620

22 × 3 × 5 × 11 × 9257
Abundant Even Composite

6,109,620 has digital root 6. The neighboring primes are 6109603 and 6109637; its proper-divisor sum differs from the starting integer by 6,444,888.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 9257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,664,128
Proper Divisor Sum 12,554,508
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6109603 ← → #6109637

Radix Representation

Decimal 6109620
Binary 10111010011100110110100 (23 bits)
Octal 0o27234664
Hexadecimal 0x5D39B4

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (196 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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