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Atlas › Integer Profiles › Node 2,802,268

2,802,268

22 × 7 × 41 × 2441
Abundant Even Composite

2,802,268 factors as 2^2 × 7 × 41 × 2441. Its 24 positive divisors give a proper-divisor sum of 2,941,316, so this integer is abundant. The Collatz stopping time is 50 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 2441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,743,584
Proper Divisor Sum 2,941,316
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2802257 ← → #2802277

Radix Representation

Decimal 2802268
Binary 1010101100001001011100 (22 bits)
Octal 0o12541134
Hexadecimal 0x2AC25C

Divisor Catalog (24)

1 2 4 7 14 28 41 82 164 287 574 1,148 2,441 4,882 9,764 17,087 34,174 68,348 100,081 200,162 400,324 700,567 1,401,134 2,802,268

Collatz Trajectory (50 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,802,268 1,401,134 700,567 2,101,702 1,050,851 3,152,554 1,576,277 4,728,832 2,364,416 1,182,208 591,104 295,552 147,776 73,888 36,944 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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