λ
Match Zalai

4,357,040

24 × 5 × 107 × 509
Abundant Even Composite

4,357,040 factors as 2^4 × 5 × 107 × 509. Its 40 positive divisors give a proper-divisor sum of 5,887,840, so this integer is abundant. The Collatz stopping time is 123 steps.

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Prime Factor Structure

Factorization String 2^4 × 5 × 107 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,244,880
Proper Divisor Sum 5,887,840
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4357037 ← → #4357063

Radix Representation

Decimal 4357040
Binary 10000100111101110110000 (23 bits)
Octal 0o20475660
Hexadecimal 0x427BB0

Divisor Catalog (5 of 40)

1 2 4 5 8

Collatz Trajectory (123 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.

4,357,040 2,178,520 1,089,260 544,630 272,315

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