λ
Match Zalai

2,947,350

2 × 3 × 52 × 72 × 401
Abundant Even Composite

2,947,350 factors as 2 × 3 × 5^2 × 7^2 × 401. Its 72 positive divisors give a proper-divisor sum of 5,576,658, so this integer is abundant. The Collatz stopping time is 120 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7^2 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 8,524,008
Proper Divisor Sum 5,576,658
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2947339 ← → #2947363

Radix Representation

Decimal 2947350
Binary 1011001111100100010110 (22 bits)
Octal 0o13174426
Hexadecimal 0x2CF916

Divisor Catalog (5 of 72)

1 2 3 5 6

Collatz Trajectory (120 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.

2,947,350 1,473,675 4,421,026 2,210,513 6,631,540

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