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The number 27338

27338 is a composite number with 4 divisors. Its prime factorisation is 2 × 13669. Divisors (4): 1, 2, 13669, 27338.

Number

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How to work it out

  1. 1

    What is special about 27338: a semiprime: 2 × 13669, the product of two primes.

  2. 2

    27338 is composite. Its prime factorisation is

    27338=2×1366927338 = 2 \times 13669
  3. 3

    The divisors add up to 41010; without 27338 itself that is 13672, so 27338 is deficient (13672 is less than 27338). Euler's totient φ(27338) = 13668 numbers up to 27338 share no factor with it.

  4. 4

    The digits of 27338 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 59 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27338 = 2 \times 13669 \]

27338 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41010
Euler totient φ(n)13668
Square747366244
Cube20431498378472
Square root165.342070
Digit sum / digital root23 / 5
Collatz steps to 159
Scientific notation2.7338 × 10410^{4}

27338 in other forms

FormValue
In wordstwenty-seven thousand three hundred and thirty-eight
Binary (base 2)110101011001010
Octal (base 8)65312
Hexadecimal (base 16)6ACA
Base 31101111112
As time27338 seconds = 7 h 35 min 38 s

Is 27338 divisible by 2 to 12?

DivisorAnswerRule
2Yes (27338 ÷ 2 = 13669)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 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 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 5)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 3)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 27338 a prime number?

No. 27338 = 2 × 13669, so it is divisible by 2.

What are the factors of 27338?

1, 2, 13669, 27338.

What is 27338 in binary?

110101011001010 (hexadecimal 6ACA, octal 65312).

What is the square root of 27338?

About 165.3421.

Is 27338 divisible by 3?

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

What is special about the number 27338?

27338 is a semiprime: 2 × 13669, the product of two primes.

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