λ
Match Zalai

2,971,660

22 × 5 × 31 × 4793
Abundant Even Composite

2,971,660 factors as 2^2 × 5 × 31 × 4793. Its 24 positive divisors give a proper-divisor sum of 3,471,476, so this integer is abundant. The Collatz stopping time is 213 steps.

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Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 4793
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,443,136
Proper Divisor Sum 3,471,476
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2971607 ← → #2971663

Radix Representation

Decimal 2971660
Binary 1011010101100000001100 (22 bits)
Octal 0o13254014
Hexadecimal 0x2D580C

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (213 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.

2,971,660 1,485,830 742,915 2,228,746 1,114,373

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