λ
Integer Codex

6,105,840

24 × 3 × 5 × 13 × 19 × 103
Abundant Even Composite

For 6,105,840, the 160 positive divisors have a total of 21,665,280. Removing 6,105,840 leaves 15,559,440, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 19 × 103
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 21,665,280
Proper Divisor Sum 15,559,440
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6105829 ← → #6105877

Radix Representation

Decimal 6105840
Binary 10111010010101011110000 (23 bits)
Octal 0o27225360
Hexadecimal 0x5D2AF0

Divisor Catalog (5 of 160)

1 2 3 4 5

Collatz Trajectory (258 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.

6,105,840 3,052,920 1,526,460 763,230 381,615

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