λ
Ratio Atlas

21,189,132

22 × 32 × 379 × 1553
Abundant Even Composite

21,189,132 factors as 2^2 × 3^2 × 379 × 1553. Its 36 positive divisors give a proper-divisor sum of 32,548,188, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 379 × 1553
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 53,737,320
Proper Divisor Sum 32,548,188
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21189131 ← → #21189163

Radix Representation

Decimal 21189132
Binary 1010000110101001000001100 (25 bits)
Octal 0o120651014
Hexadecimal 0x143520C

Divisor Catalog (36)

Collatz Trajectory (159 steps to reach 1)

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

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