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Atlas › Integer Profiles › Node 26,366,224

26,366,224

24 × 19 × 43 × 2017
Abundant Even Composite

26,366,224 factors as 2^4 × 19 × 43 × 2017. Its 40 positive divisors give a proper-divisor sum of 28,684,816, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 43 × 2017
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 55,051,040
Proper Divisor Sum 28,684,816
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26366203 ← → #26366227

Radix Representation

Decimal 26366224
Binary 1100100100101000100010000 (25 bits)
Octal 0o144450420
Hexadecimal 0x1925110

Divisor Catalog (40)

1 2 4 8 16 19 38 43 76 86 152 172 304 344 688 817 1,634 2,017 3,268 4,034 6,536 8,068 13,072 16,136 32,272 38,323 76,646 86,731 153,292 173,462 306,584 346,924 613,168 693,848 1,387,696 1,647,889 3,295,778 6,591,556 13,183,112 26,366,224

Collatz Trajectory (123 steps to reach 1)

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

26,366,224 13,183,112 6,591,556 3,295,778 1,647,889 4,943,668 2,471,834 1,235,917 3,707,752 1,853,876 926,938 463,469 1,390,408 695,204 347,602 173,801 521,404 260,702 130,351 391,054 195,527 586,582 293,291 879,874 439,937 1,319,812 659,906 329,953 989,860 494,930 247,465 742,396 371,198 185,599 556,798 278,399 835,198 417,599 1,252,798 626,399 1,879,198 939,599 2,818,798 1,409,399 4,228,198 2,114,099 6,342,298 3,171,149 9,513,448 4,756,724 2,378,362 1,189,181 3,567,544 1,783,772 891,886 445,943 1,337,830 668,915 2,006,746 1,003,373

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