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The number 26739

26739 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 2971. Divisors (6): 1, 3, 9, 2971, 8913, 26739.

Number

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How to work it out

  1. 1

    26739 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

    26739 is composite. Its prime factorisation is

    26739=32×297126739 = 3^{2} \times 2971
  3. 3

    The divisors add up to 38636; without 26739 itself that is 11897, so 26739 is deficient (11897 is less than 26739). Euler's totient φ(26739) = 17820 numbers up to 26739 share no factor with it.

  4. 4

    The digits of 26739 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.

LaTeX source of the formulas on this page
\[ 26739 = 3^{2} \times 2971 \]

26739 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors38636
Euler totient φ(n)17820
Square714974121
Cube19117693021419
Square root163.520641 (= 3√2971)
Digit sum / digital root27 / 9
Collatz steps to 195
Scientific notation2.6739 × 10410^{4}

26739 in other forms

FormValue
In wordstwenty-six thousand seven hundred and thirty-nine
Binary (base 2)110100001110011
Octal (base 8)64163
Hexadecimal (base 16)6873
Base 31100200100
As time26739 seconds = 7 h 25 min 39 s

Is 26739 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 (26739 ÷ 3 = 8913)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 4)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 6)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 (26739 ÷ 9 = 2971)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 26739 a prime number?

No. 26739 = 323^{2} × 2971, so it is divisible by 3.

What are the factors of 26739?

1, 3, 9, 2971, 8913, 26739.

What is 26739 in binary?

110100001110011 (hexadecimal 6873, octal 64163).

What is the square root of 26739?

About 163.5206, exactly 3√2971.

Is 26739 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 26739?

It is a composite number with 6 divisors.

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    26739: is it prime? Factors, square root, binary, Roman numeral | WordGPT