λ
Prime Ledger

7,738,792

23 × 967349
Deficient Even Composite

7,738,792 has the prime decomposition 2^3 × 967349. Its 2 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 967349
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,510,250
Proper Divisor Sum 6,771,458
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7738789 ← → #7738799

Radix Representation

Decimal 7738792
Binary 11101100001010110101000 (23 bits)
Octal 0o35412650
Hexadecimal 0x7615A8

Divisor Catalog (5 of 8)

1 2 4 8 967,349

Collatz Trajectory (142 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.

7,738,792 3,869,396 1,934,698 967,349 2,902,048

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