λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,589,786

41,589,786

2 × 3 × 7 × 17 × 31 × 1879
Abundant Even Composite

41,589,786 factors as 2 × 3 × 7 × 17 × 31 × 1879. Its 64 positive divisors give a proper-divisor sum of 62,366,694, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 31 × 1879
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 103,956,480
Proper Divisor Sum 62,366,694
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #41589767 ← → #41589797

Radix Representation

Decimal 41589786
Binary 10011110101001110000011010 (26 bits)
Octal 0o236516032
Hexadecimal 0x27A9C1A

Divisor Catalog (60 of 64)

1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1,054 1,302 1,581 1,879 3,162 3,689 3,758 5,637 7,378 11,067 11,274 13,153 22,134 26,306 31,943 39,459 58,249 63,886 78,918 95,829 116,498 174,747 191,658 223,601 349,494 407,743 447,202 670,803 815,486 990,233 1,223,229 1,341,606 1,980,466 2,446,458 2,970,699 5,941,398

Collatz Trajectory (98 steps to reach 1)

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

41,589,786 20,794,893 62,384,680 31,192,340 15,596,170 7,798,085 23,394,256 11,697,128 5,848,564 2,924,282 1,462,141 4,386,424 2,193,212 1,096,606 548,303 1,644,910 822,455 2,467,366 1,233,683 3,701,050 1,850,525 5,551,576 2,775,788 1,387,894 693,947 2,081,842 1,040,921 3,122,764 1,561,382 780,691 2,342,074 1,171,037 3,513,112 1,756,556 878,278 439,139 1,317,418 658,709 1,976,128 988,064 494,032 247,016 123,508 61,754 30,877 92,632 46,316 23,158 11,579 34,738 17,369 52,108 26,054 13,027 39,082 19,541 58,624 29,312 14,656 7,328

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #41,589,785 Browse Full Index Next Integer #41,589,787 →