λ
Ratio Atlas

448,080

24 × 3 × 5 × 1867
Abundant Even Composite

448,080 factors as 2^4 × 3 × 5 × 1867. Its 40 positive divisors give a proper-divisor sum of 941,712, so this integer is abundant. The Collatz stopping time is 37 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 1867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,389,792
Proper Divisor Sum 941,712
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #448073 ← → #448093

Radix Representation

Decimal 448080
Binary 1101101011001010000 (19 bits)
Octal 0o1553120
Hexadecimal 0x6D650

Divisor Catalog (40)

Collatz Trajectory (37 steps to reach 1)

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

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