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Atlas › Integer Profiles › Node 41,364,280

41,364,280

23 × 5 × 43 × 24049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 24049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,238,000
Proper Divisor Sum 53,873,720
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #41364269 ← → #41364293

Radix Representation

Decimal 41364280
Binary 10011101110010101100111000 (26 bits)
Octal 0o235625470
Hexadecimal 0x2772B38

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1,720 24,049 48,098 96,196 120,245 192,392 240,490 480,980 961,960 1,034,107 2,068,214 4,136,428 5,170,535 8,272,856 10,341,070 20,682,140 41,364,280

Collatz Trajectory (160 steps to reach 1)

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

41,364,280 20,682,140 10,341,070 5,170,535 15,511,606 7,755,803 23,267,410 11,633,705 34,901,116 17,450,558 8,725,279 26,175,838 13,087,919 39,263,758 19,631,879 58,895,638 29,447,819 88,343,458 44,171,729 132,515,188 66,257,594 33,128,797 99,386,392 49,693,196 24,846,598 12,423,299 37,269,898 18,634,949 55,904,848 27,952,424 13,976,212 6,988,106 3,494,053 10,482,160 5,241,080 2,620,540 1,310,270 655,135 1,965,406 982,703 2,948,110 1,474,055 4,422,166 2,211,083 6,633,250 3,316,625 9,949,876 4,974,938 2,487,469 7,462,408 3,731,204 1,865,602 932,801 2,798,404 1,399,202 699,601 2,098,804 1,049,402 524,701 1,574,104

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