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The number 27626

27626 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 727. Divisors (8): 1, 2, 19, 38, 727, 1454, 13813, 27626.

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How to work it out

  1. 1

    What is special about 27626: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    27626 is composite. Its prime factorisation is

    27626=2×19×72727626 = 2 \times 19 \times 727
  3. 3

    The divisors add up to 43680; without 27626 itself that is 16054, so 27626 is deficient (16054 is less than 27626). Euler's totient φ(27626) = 13068 numbers up to 27626 share no factor with it.

  4. 4

    The digits of 27626 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27626 = 2 \times 19 \times 727 \]

27626 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors43680
Euler totient φ(n)13068
Square763195876
Cube21084049270376
Square root166.210710
Digit sum / digital root23 / 5
Collatz steps to 146
Scientific notation2.7626 × 10410^{4}

27626 in other forms

FormValue
In wordstwenty-seven thousand six hundred and twenty-six
Binary (base 2)110101111101010
Octal (base 8)65752
Hexadecimal (base 16)6BEA
Base 31101220012
As time27626 seconds = 7 h 40 min 26 s

Is 27626 divisible by 2 to 12?

DivisorAnswerRule
2Yes (27626 ÷ 2 = 13813)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.
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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 5)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27626 a prime number?

No. 27626 = 2 × 19 × 727, so it is divisible by 2.

What are the factors of 27626?

1, 2, 19, 38, 727, 1454, 13813, 27626.

What is 27626 in binary?

110101111101010 (hexadecimal 6BEA, octal 65752).

What is the square root of 27626?

About 166.2107.

Is 27626 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 27626?

27626 is a happy number: repeatedly adding the squares of its digits reaches 1.

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