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Atlas › Integer Profiles › Node 2,149,668

2,149,668

22 × 32 × 211 × 283
Abundant Even Composite

2,149,668 factors as 2^2 × 3^2 × 211 × 283. Its 36 positive divisors give a proper-divisor sum of 3,329,260, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 211 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,478,928
Proper Divisor Sum 3,329,260
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2149661 ← → #2149681

Radix Representation

Decimal 2149668
Binary 1000001100110100100100 (22 bits)
Octal 0o10146444
Hexadecimal 0x20CD24

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 211 283 422 566 633 844 849 1,132 1,266 1,698 1,899 2,532 2,547 3,396 3,798 5,094 7,596 10,188 59,713 119,426 179,139 238,852 358,278 537,417 716,556 1,074,834 2,149,668

Collatz Trajectory (166 steps to reach 1)

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

2,149,668 1,074,834 537,417 1,612,252 806,126 403,063 1,209,190 604,595 1,813,786 906,893 2,720,680 1,360,340 680,170 340,085 1,020,256 510,128 255,064 127,532 63,766 31,883 95,650 47,825 143,476 71,738 35,869 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380

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