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The number 27226

27226 is a composite number with 4 divisors. Its prime factorisation is 2 × 13613. Divisors (4): 1, 2, 13613, 27226.

Number

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How to work it out

  1. 1

    What is special about 27226: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13613, the product of two primes.

  2. 2

    27226 is composite. Its prime factorisation is

    27226=2×1361327226 = 2 \times 13613
  3. 3

    The divisors add up to 40842; without 27226 itself that is 13616, so 27226 is deficient (13616 is less than 27226). Euler's totient φ(27226) = 13612 numbers up to 27226 share no factor with it.

  4. 4

    The digits of 27226 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27226 = 2 \times 13613 \]

27226 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors40842
Euler totient φ(n)13612
Square741255076
Cube20181410699176
Square root165.003030
Digit sum / digital root19 / 1
Collatz steps to 164
Scientific notation2.7226 × 10410^{4}

27226 in other forms

FormValue
In wordstwenty-seven thousand two hundred and twenty-six
Binary (base 2)110101001011010
Octal (base 8)65132
Hexadecimal (base 16)6A5A
Base 31101100101
As time27226 seconds = 7 h 33 min 46 s

Is 27226 divisible by 2 to 12?

DivisorAnswerRule
2Yes (27226 ÷ 2 = 13613)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27226 a prime number?

No. 27226 = 2 × 13613, so it is divisible by 2.

What are the factors of 27226?

1, 2, 13613, 27226.

What is 27226 in binary?

110101001011010 (hexadecimal 6A5A, octal 65132).

What is the square root of 27226?

About 165.0030.

Is 27226 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 27226?

27226 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13613, the product of two primes.

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    27226: is it prime? Factors, square root, binary, Roman numeral | WordGPT