λ
Prime Ledger

7,438,314

2 × 3 × 13 × 47 × 2029
Abundant Even Composite

7,438,314 has the prime decomposition 2 × 3 × 13 × 47 × 2029. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 13 × 47 × 2029
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,369,920
Proper Divisor Sum 8,931,606
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7438309 ← → #7438331

Radix Representation

Decimal 7438314
Binary 11100010111111111101010 (23 bits)
Octal 0o34277752
Hexadecimal 0x717FEA

Divisor Catalog (5 of 32)

1 2 3 6 13

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.

7,438,314 3,719,157 11,157,472 5,578,736 2,789,368

More profiles

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