The number 21338
21338 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 227. Divisors (8): 1, 2, 47, 94, 227, 454, 10669, 21338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21338 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 21338 itself that is 11494, so 21338 is deficient (11494 is less than 21338). Euler's totient φ(21338) = 10396 numbers up to 21338 share no factor with it.
- 4
The digits of 21338 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21338 = 2 \times 47 \times 227 \]
21338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 10396 |
| Square | 455310244 |
| Cube | 9715409986472 |
| Square root | 146.075323 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.1338 × |
21338 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and thirty-eight |
| Binary (base 2) | 101001101011010 |
| Octal (base 8) | 51532 |
| Hexadecimal (base 16) | 535A |
| Base 3 | 1002021022 |
| As time | 21338 seconds = 5 h 55 min 38 s |
Is 21338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21338 ÷ 2 = 10669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21338 a prime number?
No. 21338 = 2 × 47 × 227, so it is divisible by 2.
What are the factors of 21338?
1, 2, 47, 94, 227, 454, 10669, 21338.
What is 21338 in binary?
101001101011010 (hexadecimal 535A, octal 51532).
What is the square root of 21338?
About 146.0753.
Is 21338 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 21338?
It is a composite number with 8 divisors.