λ
Ratio Atlas

419,216

24 × 7 × 19 × 197
Abundant Even Composite

419,216 factors as 2^4 × 7 × 19 × 197. Its 40 positive divisors give a proper-divisor sum of 562,864, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 19 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 982,080
Proper Divisor Sum 562,864
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #419201 ← → #419231

Radix Representation

Decimal 419216
Binary 1100110010110010000 (19 bits)
Octal 0o1462620
Hexadecimal 0x66590

Divisor Catalog (40)

Collatz Trajectory (55 steps to reach 1)

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

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