λ
Match Zalai

4,582,248

23 × 3 × 11 × 17 × 1021
Abundant Even Composite

4,582,248 factors as 2^3 × 3 × 11 × 17 × 1021. Its 64 positive divisors give a proper-divisor sum of 8,662,872, so this integer is abundant. The Collatz stopping time is 193 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 17 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,245,120
Proper Divisor Sum 8,662,872
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4582241 ← → #4582271

Radix Representation

Decimal 4582248
Binary 10001011110101101101000 (23 bits)
Octal 0o21365550
Hexadecimal 0x45EB68

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (193 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

4,582,248 2,291,124 1,145,562 572,781 1,718,344

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