λ
Math Directory

8,244,160

26 × 5 × 25763
Abundant Even Composite

8,244,160 factors as 2^6 × 5 × 25763. Its 28 positive divisors give a proper-divisor sum of 11,388,008, so this integer is abundant. The Collatz stopping time is 93 steps.

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Prime Factor Structure

Factorization String 2^6 × 5 × 25763
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 19,632,168
Proper Divisor Sum 11,388,008
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8244139 ← → #8244161

Radix Representation

Decimal 8244160
Binary 11111011100101111000000 (23 bits)
Octal 0o37345700
Hexadecimal 0x7DCBC0

Divisor Catalog (5 of 28)

1 2 4 5 8

Collatz Trajectory (93 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.

8,244,160 4,122,080 2,061,040 1,030,520 515,260

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