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Zalai Atlas

7,759,920

24 × 3 × 5 × 7 × 31 × 149
Abundant Even Composite

7,759,920 has the prime decomposition 2^4 × 3 × 5 × 7 × 31 × 149. Its 6 distinct prime factors produce 160 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 31 × 149
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 28,569,600
Proper Divisor Sum 20,809,680
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7759897 ← → #7759943

Radix Representation

Decimal 7759920
Binary 11101100110100000110000 (23 bits)
Octal 0o35464060
Hexadecimal 0x766830

Divisor Catalog (5 of 160)

1 2 3 4 5

Collatz Trajectory (93 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.

7,759,920 3,879,960 1,939,980 969,990 484,995

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