λ
Match Zalai

4,223,184

24 × 3 × 7 × 12569
Abundant Even Composite

4,223,184 factors as 2^4 × 3 × 7 × 12569. Its 40 positive divisors give a proper-divisor sum of 8,246,256, so this integer is abundant. The Collatz stopping time is 154 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 12569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,469,440
Proper Divisor Sum 8,246,256
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4223179 ← → #4223189

Radix Representation

Decimal 4223184
Binary 10000000111000011010000 (23 bits)
Octal 0o20070320
Hexadecimal 0x4070D0

Divisor Catalog (5 of 40)

1 2 3 4 6

Collatz Trajectory (154 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.

4,223,184 2,111,592 1,055,796 527,898 263,949

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