λ
Ratio Atlas

8,093,832

23 × 3 × 293 × 1151
Abundant Even Composite

8,093,832 factors as 2^3 × 3 × 293 × 1151. Its 32 positive divisors give a proper-divisor sum of 12,227,448, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 293 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,321,280
Proper Divisor Sum 12,227,448
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8093809 ← → #8093873

Radix Representation

Decimal 8093832
Binary 11110111000000010001000 (23 bits)
Octal 0o36700210
Hexadecimal 0x7B8088

Divisor Catalog (32)

Collatz Trajectory (111 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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