λ
Match Zalai

6,928,656

24 × 3 × 7 × 17 × 1213
Abundant Even Composite

6,928,656 factors as 2^4 × 3 × 7 × 17 × 1213. Its 80 positive divisors give a proper-divisor sum of 14,748,528, so this integer is abundant. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 17 × 1213
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 21,677,184
Proper Divisor Sum 14,748,528
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6928643 ← → #6928661

Radix Representation

Decimal 6928656
Binary 11010011011100100010000 (23 bits)
Octal 0o32334420
Hexadecimal 0x69B910

Divisor Catalog (5 of 80)

1 2 3 4 6

Collatz Trajectory (129 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.

6,928,656 3,464,328 1,732,164 866,082 433,041

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