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Zalai Atlas

7,752,108

22 × 3 × 7 × 13 × 31 × 229
Abundant Even Composite

7,752,108 has the prime decomposition 2^2 × 3 × 7 × 13 × 31 × 229. Its 6 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 31 × 229
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 23,080,960
Proper Divisor Sum 15,328,852
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7752103 ← → #7752109

Radix Representation

Decimal 7752108
Binary 11101100100100110101100 (23 bits)
Octal 0o35444654
Hexadecimal 0x7649AC

Divisor Catalog (5 of 96)

1 2 3 4 6

Collatz Trajectory (173 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.

7,752,108 3,876,054 1,938,027 5,814,082 2,907,041

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