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The number 26091

26091 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 13 × 223. Divisors (12): 1, 3, 9, 13, 39, 117, 223, 669, 2007, 2899, 8697, 26091.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    26091 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    26091 is composite. Its prime factorisation is

    26091=32×13×22326091 = 3^{2} \times 13 \times 223
  3. 3

    The divisors add up to 40768; without 26091 itself that is 14677, so 26091 is deficient (14677 is less than 26091). Euler's totient φ(26091) = 15984 numbers up to 26091 share no factor with it.

  4. 4

    The digits of 26091 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.

LaTeX source of the formulas on this page
\[ 26091 = 3^{2} \times 13 \times 223 \]

26091 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors40768
Euler totient φ(n)15984
Square680740281
Cube17761194671571
Square root161.527088 (= 3√2899)
Digit sum / digital root18 / 9
Collatz steps to 182
Scientific notation2.6091 × 10410^{4}

26091 in other forms

FormValue
In wordstwenty-six thousand and ninety-one
Binary (base 2)110010111101011
Octal (base 8)62753
Hexadecimal (base 16)65EB
Base 31022210100
As time26091 seconds = 7 h 14 min 51 s

Is 26091 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (26091 ÷ 3 = 8697)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (26091 ÷ 9 = 2899)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 26091 a prime number?

No. 26091 = 323^{2} × 13 × 223, so it is divisible by 3.

What are the factors of 26091?

1, 3, 9, 13, 39, 117, 223, 669, 2007, 2899, 8697, 26091.

What is 26091 in binary?

110010111101011 (hexadecimal 65EB, octal 62753).

What is the square root of 26091?

About 161.5271, exactly 3√2899.

Is 26091 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 26091?

It is a composite number with 12 divisors.

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    26091: is it prime? Factors, square root, binary, Roman numeral | WordGPT