λ
Ratio Atlas

416,448

26 × 33 × 241
Abundant Even Composite

416,448 factors as 2^6 × 3^3 × 241. Its 56 positive divisors give a proper-divisor sum of 812,912, so this integer is abundant. The Collatz stopping time is 55 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 241
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 1,229,360
Proper Divisor Sum 812,912
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #416443 ← → #416459

Radix Representation

Decimal 416448
Binary 1100101101011000000 (19 bits)
Octal 0o1455300
Hexadecimal 0x65AC0

Divisor Catalog (56)

Collatz Trajectory (55 steps to reach 1)

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

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