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Zalai Atlas

7,822,332

22 × 34 × 7 × 3449
Abundant Even Composite

7,822,332 has the prime decomposition 2^2 × 3^4 × 7 × 3449. Its 4 distinct prime factors produce 60 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 3449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 23,377,200
Proper Divisor Sum 15,554,868
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7822327 ← → #7822333

Radix Representation

Decimal 7822332
Binary 11101110101101111111100 (23 bits)
Octal 0o35655774
Hexadecimal 0x775BFC

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (217 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.

7,822,332 3,911,166 1,955,583 5,866,750 2,933,375

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