λ
Ratio Atlas

20,761,312

25 × 11 × 132 × 349
Abundant Even Composite

20,761,312 factors as 2^5 × 11 × 13^2 × 349. Its 72 positive divisors give a proper-divisor sum of 27,660,488, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 13^2 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 48,421,800
Proper Divisor Sum 27,660,488
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #20761309 ← → #20761327

Radix Representation

Decimal 20761312
Binary 1001111001100101011100000 (25 bits)
Octal 0o117145340
Hexadecimal 0x13CCAE0

Divisor Catalog (60 of 72)

Collatz Trajectory (71 steps to reach 1)

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

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