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Atlas › Integer Profiles › Node 26,324,208

26,324,208

24 × 32 × 31 × 5897
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 31 × 5897
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 76,060,608
Proper Divisor Sum 49,736,400
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #26324201 ← → #26324209

Radix Representation

Decimal 26324208
Binary 1100100011010110011110000 (25 bits)
Octal 0o144326360
Hexadecimal 0x191ACF0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1,116 1,488 2,232 4,464 5,897 11,794 17,691 23,588 35,382 47,176 53,073 70,764 94,352 106,146 141,528 182,807 212,292 283,056 365,614 424,584 548,421 731,228 849,168 1,096,842 1,462,456 1,645,263 2,193,684 2,924,912 3,290,526 4,387,368 6,581,052 8,774,736 13,162,104 26,324,208

Collatz Trajectory (242 steps to reach 1)

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

26,324,208 13,162,104 6,581,052 3,290,526 1,645,263 4,935,790 2,467,895 7,403,686 3,701,843 11,105,530 5,552,765 16,658,296 8,329,148 4,164,574 2,082,287 6,246,862 3,123,431 9,370,294 4,685,147 14,055,442 7,027,721 21,083,164 10,541,582 5,270,791 15,812,374 7,906,187 23,718,562 11,859,281 35,577,844 17,788,922 8,894,461 26,683,384 13,341,692 6,670,846 3,335,423 10,006,270 5,003,135 15,009,406 7,504,703 22,514,110 11,257,055 33,771,166 16,885,583 50,656,750 25,328,375 75,985,126 37,992,563 113,977,690 56,988,845 170,966,536 85,483,268 42,741,634 21,370,817 64,112,452 32,056,226 16,028,113 48,084,340 24,042,170 12,021,085 36,063,256

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