λ
Match Zalai

3,905,840

24 × 5 × 48823
Abundant Even Composite

3,905,840 factors as 2^4 × 5 × 48823. Its 20 positive divisors give a proper-divisor sum of 5,175,424, so this integer is abundant. The Collatz stopping time is 123 steps.

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Prime Factor Structure

Factorization String 2^4 × 5 × 48823
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,081,264
Proper Divisor Sum 5,175,424
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3905833 ← → #3905843

Radix Representation

Decimal 3905840
Binary 1110111001100100110000 (22 bits)
Octal 0o16714460
Hexadecimal 0x3B9930

Divisor Catalog (5 of 20)

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.

3,905,840 1,952,920 976,460 488,230 244,115

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