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Ratio Atlas
Atlas › Integer Profiles › Node 13,541,110

13,541,110

2 × 5 × 112 × 192 × 31
Abundant Even Composite

13,541,110 factors as 2 × 5 × 11^2 × 19^2 × 31. Its 72 positive divisors give a proper-divisor sum of 15,646,538, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 19^2 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 29,187,648
Proper Divisor Sum 15,646,538
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #13541107 ← → #13541117

Radix Representation

Decimal 13541110
Binary 110011101001111011110110 (24 bits)
Octal 0o63517366
Hexadecimal 0xCE9EF6

Divisor Catalog (60 of 72)

1 2 5 10 11 19 22 31 38 55 62 95 110 121 155 190 209 242 310 341 361 418 589 605 682 722 1,045 1,178 1,210 1,705 1,805 2,090 2,299 2,945 3,410 3,610 3,751 3,971 4,598 5,890 6,479 7,502 7,942 11,191 11,495 12,958 18,755 19,855 22,382 22,990 32,395 37,510 39,710 43,681 55,955 64,790 71,269 87,362 111,910 123,101

Collatz Trajectory (179 steps to reach 1)

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

13,541,110 6,770,555 20,311,666 10,155,833 30,467,500 15,233,750 7,616,875 22,850,626 11,425,313 34,275,940 17,137,970 8,568,985 25,706,956 12,853,478 6,426,739 19,280,218 9,640,109 28,920,328 14,460,164 7,230,082 3,615,041 10,845,124 5,422,562 2,711,281 8,133,844 4,066,922 2,033,461 6,100,384 3,050,192 1,525,096 762,548 381,274 190,637 571,912 285,956 142,978 71,489 214,468 107,234 53,617 160,852 80,426 40,213 120,640 60,320 30,160 15,080 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398

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