λ
Ratio Atlas

6,815,248

24 × 11 × 38723
Abundant Even Composite

6,815,248 factors as 2^4 × 11 × 38723. Its 20 positive divisors give a proper-divisor sum of 7,590,080, so this integer is abundant. The Collatz stopping time is 116 steps.

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Prime Factor Structure

Factorization String 2^4 × 11 × 38723
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,405,328
Proper Divisor Sum 7,590,080
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6815233 ← → #6815293

Radix Representation

Decimal 6815248
Binary 11001111111111000010000 (23 bits)
Octal 0o31777020
Hexadecimal 0x67FE10

Divisor Catalog (5 of 20)

1 2 4 8 11

Collatz Trajectory (116 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.

6,815,248 3,407,624 1,703,812 851,906 425,953

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