λ
Ratio Atlas
Atlas › Integer Profiles › Node 266,805

266,805

32 × 5 × 72 × 112
Abundant Odd Composite

266,805 factors as 3^2 × 5 × 7^2 × 11^2. Its 54 positive divisors give a proper-divisor sum of 324,513, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 11^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 591,318
Proper Divisor Sum 324,513
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #266801 ← → #266821

Radix Representation

Decimal 266805
Binary 1000001001000110101 (19 bits)
Octal 0o1011065
Hexadecimal 0x41235

Divisor Catalog (54)

1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 121 147 165 231 245 315 363 385 441 495 539 605 693 735 847 1,089 1,155 1,617 1,815 2,205 2,541 2,695 3,465 4,235 4,851 5,445 5,929 7,623 8,085 12,705 17,787 24,255 29,645 38,115 53,361 88,935 266,805

Collatz Trajectory (163 steps to reach 1)

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

266,805 800,416 400,208 200,104 100,052 50,026 25,013 75,040 37,520 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #266,804 Browse Full Index Next Integer #266,806 →