λ
Ratio Atlas

8,091,776

27 × 7 × 11 × 821
Abundant Even Composite

8,091,776 factors as 2^7 × 7 × 11 × 821. Its 64 positive divisors give a proper-divisor sum of 12,030,784, so this integer is abundant. The Collatz stopping time is 49 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 11 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,122,560
Proper Divisor Sum 12,030,784
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8091773 ← → #8091803

Radix Representation

Decimal 8091776
Binary 11110110111100010000000 (23 bits)
Octal 0o36674200
Hexadecimal 0x7B7880

Divisor Catalog (60 of 64)

Collatz Trajectory (49 steps to reach 1)

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

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