λ
Ratio Atlas

26,827,900

22 × 52 × 11 × 293
Abundant Even Composite

26,827,900 factors as 2^2 × 5^2 × 11 × 29^3. Its 72 positive divisors give a proper-divisor sum of 38,949,140, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 29^3
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 65,777,040
Proper Divisor Sum 38,949,140
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #26827891 ← → #26827901

Radix Representation

Decimal 26827900
Binary 1100110010101110001111100 (25 bits)
Octal 0o146256174
Hexadecimal 0x1995C7C

Divisor Catalog (60 of 72)

Collatz Trajectory (118 steps to reach 1)

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

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