λ
Match Zalai

4,493,272

23 × 7 × 19 × 41 × 103
Abundant Even Composite

4,493,272 factors as 2^3 × 7 × 19 × 41 × 103. Its 64 positive divisors give a proper-divisor sum of 5,989,928, so this integer is abundant. The Collatz stopping time is 87 steps.

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Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 41 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,483,200
Proper Divisor Sum 5,989,928
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4493261 ← → #4493273

Radix Representation

Decimal 4493272
Binary 10001001000111111011000 (23 bits)
Octal 0o21107730
Hexadecimal 0x448FD8

Divisor Catalog (5 of 64)

1 2 4 7 8

Collatz Trajectory (87 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.

4,493,272 2,246,636 1,123,318 561,659 1,684,978

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