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Math Directory

2,821,746

2 × 3 × 43 × 10937
Abundant Even Composite

2,821,746 factors as 2 × 3 × 43 × 10937. Its 16 positive divisors give a proper-divisor sum of 2,953,518, so this integer is abundant. The Collatz stopping time is 275 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 43 × 10937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,775,264
Proper Divisor Sum 2,953,518
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2821733 ← → #2821759

Radix Representation

Decimal 2821746
Binary 1010110000111001110010 (22 bits)
Octal 0o12607162
Hexadecimal 0x2B0E72

Divisor Catalog (5 of 16)

1 2 3 6 43

Collatz Trajectory (275 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.

2,821,746 1,410,873 4,232,620 2,116,310 1,058,155

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