λ
Match Zalai

8,141,224

23 × 7 × 13 × 53 × 211
Abundant Even Composite

8,141,224 factors as 2^3 × 7 × 13 × 53 × 211. Its 64 positive divisors give a proper-divisor sum of 11,091,416, so this integer is abundant. The Collatz stopping time is 137 steps.

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Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 53 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,232,640
Proper Divisor Sum 11,091,416
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8141213 ← → #8141227

Radix Representation

Decimal 8141224
Binary 11111000011100110101000 (23 bits)
Octal 0o37034650
Hexadecimal 0x7C39A8

Divisor Catalog (5 of 64)

1 2 4 7 8

Collatz Trajectory (137 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.

8,141,224 4,070,612 2,035,306 1,017,653 3,052,960

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