λ
Prime Ledger

7,446,340

22 × 5 × 112 × 17 × 181
Abundant Even Composite

7,446,340 has the prime decomposition 2^2 × 5 × 11^2 × 17 × 181. Its 5 distinct prime factors produce 72 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 17 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 18,299,736
Proper Divisor Sum 10,853,396
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7446337 ← → #7446343

Radix Representation

Decimal 7446340
Binary 11100011001111101000100 (23 bits)
Octal 0o34317504
Hexadecimal 0x719F44

Divisor Catalog (5 of 72)

1 2 4 5 10

Collatz Trajectory (85 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.

7,446,340 3,723,170 1,861,585 5,584,756 2,792,378

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