λ
Math Directory

3,266,240

26 × 5 × 59 × 173
Abundant Even Composite

3,266,240 factors as 2^6 × 5 × 59 × 173. Its 56 positive divisors give a proper-divisor sum of 4,689,040, so this integer is abundant. The Collatz stopping time is 177 steps.

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Prime Factor Structure

Factorization String 2^6 × 5 × 59 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 7,955,280
Proper Divisor Sum 4,689,040
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3266209 ← → #3266243

Radix Representation

Decimal 3266240
Binary 1100011101011011000000 (22 bits)
Octal 0o14353300
Hexadecimal 0x31D6C0

Divisor Catalog (5 of 56)

1 2 4 5 8

Collatz Trajectory (177 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.

3,266,240 1,633,120 816,560 408,280 204,140

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