λ
Zalai Atlas

7,728,764

22 × 59 × 32749
Deficient Even Composite

7,728,764 has the prime decomposition 2^2 × 59 × 32749. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 59 × 32749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,755,000
Proper Divisor Sum 6,026,236
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7728757 ← → #7728769

Radix Representation

Decimal 7728764
Binary 11101011110111001111100 (23 bits)
Octal 0o35367174
Hexadecimal 0x75EE7C

Divisor Catalog (5 of 12)

1 2 4 59 118

Collatz Trajectory (80 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.

7,728,764 3,864,382 1,932,191 5,796,574 2,898,287

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