λ
Integer Codex

6,085,200

24 × 3 × 52 × 11 × 461
Abundant Even Composite

For 6,085,200, the 120 positive divisors have a total of 21,311,136. Removing 6,085,200 leaves 15,225,936, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 11 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 21,311,136
Proper Divisor Sum 15,225,936
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6085199 ← → #6085213

Radix Representation

Decimal 6085200
Binary 10111001101101001010000 (23 bits)
Octal 0o27155120
Hexadecimal 0x5CDA50

Divisor Catalog (5 of 120)

1 2 3 4 5

Collatz Trajectory (333 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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