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Atlas › Integer Profiles › Node 2,189,586

2,189,586

2 × 3 × 7 × 37 × 1409
Abundant Even Composite

2,189,586 factors as 2 × 3 × 7 × 37 × 1409. Its 32 positive divisors give a proper-divisor sum of 2,954,094, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 37 × 1409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,143,680
Proper Divisor Sum 2,954,094
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2189573 ← → #2189599

Radix Representation

Decimal 2189586
Binary 1000010110100100010010 (22 bits)
Octal 0o10264422
Hexadecimal 0x216912

Divisor Catalog (32)

1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1,409 1,554 2,818 4,227 8,454 9,863 19,726 29,589 52,133 59,178 104,266 156,399 312,798 364,931 729,862 1,094,793 2,189,586

Collatz Trajectory (197 steps to reach 1)

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

2,189,586 1,094,793 3,284,380 1,642,190 821,095 2,463,286 1,231,643 3,694,930 1,847,465 5,542,396 2,771,198 1,385,599 4,156,798 2,078,399 6,235,198 3,117,599 9,352,798 4,676,399 14,029,198 7,014,599 21,043,798 10,521,899 31,565,698 15,782,849 47,348,548 23,674,274 11,837,137 35,511,412 17,755,706 8,877,853 26,633,560 13,316,780 6,658,390 3,329,195 9,987,586 4,993,793 14,981,380 7,490,690 3,745,345 11,236,036 5,618,018 2,809,009 8,427,028 4,213,514 2,106,757 6,320,272 3,160,136 1,580,068 790,034 395,017 1,185,052 592,526 296,263 888,790 444,395 1,333,186 666,593 1,999,780 999,890 499,945

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