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The number 26948

26948 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 6737. Divisors (6): 1, 2, 4, 6737, 13474, 26948.

Number

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How to work it out

  1. 1

    26948 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

    26948 is composite. Its prime factorisation is

    26948=22×673726948 = 2^{2} \times 6737
  3. 3

    The divisors add up to 47166; without 26948 itself that is 20218, so 26948 is deficient (20218 is less than 26948). Euler's totient φ(26948) = 13472 numbers up to 26948 share no factor with it.

  4. 4

    The digits of 26948 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.

LaTeX source of the formulas on this page
\[ 26948 = 2^{2} \times 6737 \]

26948 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors47166
Euler totient φ(n)13472
Square726194704
Cube19569494883392
Square root164.158460 (= 2√6737)
Digit sum / digital root29 / 2
Collatz steps to 1183
Scientific notation2.6948 × 10410^{4}

26948 in other forms

FormValue
In wordstwenty-six thousand nine hundred and forty-eight
Binary (base 2)110100101000100
Octal (base 8)64504
Hexadecimal (base 16)6944
Base 31100222002
As time26948 seconds = 7 h 29 min 8 s

Is 26948 divisible by 2 to 12?

DivisorAnswerRule
2Yes (26948 ÷ 2 = 13474)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (26948 ÷ 4 = 6737)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 26948 a prime number?

No. 26948 = 222^{2} × 6737, so it is divisible by 2.

What are the factors of 26948?

1, 2, 4, 6737, 13474, 26948.

What is 26948 in binary?

110100101000100 (hexadecimal 6944, octal 64504).

What is the square root of 26948?

About 164.1585, exactly 2√6737.

Is 26948 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 26948?

It is a composite number with 6 divisors.

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