λ
Prime Ledger

7,743,828

22 × 3 × 61 × 71 × 149
Abundant Even Composite

7,743,828 has the prime decomposition 2^2 × 3 × 61 × 71 × 149. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 61 × 71 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,748,800
Proper Divisor Sum 11,004,972
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7743821 ← → #7743833

Radix Representation

Decimal 7743828
Binary 11101100010100101010100 (23 bits)
Octal 0o35424524
Hexadecimal 0x762954

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (124 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.

7,743,828 3,871,914 1,935,957 5,807,872 2,903,936

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