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Atlas › Integer Profiles › Node 6,089,380

6,089,380

22 × 5 × 11 × 89 × 311
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 89 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,152,320
Proper Divisor Sum 8,062,940
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6089371 ← → #6089381

Radix Representation

Decimal 6089380
Binary 10111001110101010100100 (23 bits)
Octal 0o27165244
Hexadecimal 0x5CEAA4

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 55 89 110 178 220 311 356 445 622 890 979 1,244 1,555 1,780 1,958 3,110 3,421 3,916 4,895 6,220 6,842 9,790 13,684 17,105 19,580 27,679 34,210 55,358 68,420 110,716 138,395 276,790 304,469 553,580 608,938 1,217,876 1,522,345 3,044,690 6,089,380

Collatz Trajectory (289 steps to reach 1)

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

6,089,380 3,044,690 1,522,345 4,567,036 2,283,518 1,141,759 3,425,278 1,712,639 5,137,918 2,568,959 7,706,878 3,853,439 11,560,318 5,780,159 17,340,478 8,670,239 26,010,718 13,005,359 39,016,078 19,508,039 58,524,118 29,262,059 87,786,178 43,893,089 131,679,268 65,839,634 32,919,817 98,759,452 49,379,726 24,689,863 74,069,590 37,034,795 111,104,386 55,552,193 166,656,580 83,328,290 41,664,145 124,992,436 62,496,218 31,248,109 93,744,328 46,872,164 23,436,082 11,718,041 35,154,124 17,577,062 8,788,531 26,365,594 13,182,797 39,548,392 19,774,196 9,887,098 4,943,549 14,830,648 7,415,324 3,707,662 1,853,831 5,561,494 2,780,747 8,342,242

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