λ
Ratio Atlas

19,646,224

24 × 13 × 29 × 3257
Abundant Even Composite

19,646,224 factors as 2^4 × 13 × 29 × 3257. Its 40 positive divisors give a proper-divisor sum of 22,772,936, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 29 × 3257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 42,419,160
Proper Divisor Sum 22,772,936
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #19646213 ← → #19646251

Radix Representation

Decimal 19646224
Binary 1001010111100011100010000 (25 bits)
Octal 0o112743420
Hexadecimal 0x12BC710

Divisor Catalog (40)

Collatz Trajectory (133 steps to reach 1)

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

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