The number 21710
21710 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 167. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 167, 334, 835, 1670, 2171, 4342, 10855, 21710.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21710 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21710 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 21710 itself that is 20626, so 21710 is deficient (20626 is less than 21710). Euler's totient φ(21710) = 7968 numbers up to 21710 share no factor with it.
- 4
The digits of 21710 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 206 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21710 = 2 \times 5 \times 13 \times 167 \]
21710 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 7968 |
| Square | 471324100 |
| Cube | 10232446211000 |
| Square root | 147.343137 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 206 |
| Scientific notation | 2.171 × |
21710 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand seven hundred and ten |
| Binary (base 2) | 101010011001110 |
| Octal (base 8) | 52316 |
| Hexadecimal (base 16) | 54CE |
| Base 3 | 1002210002 |
| As time | 21710 seconds = 6 h 1 min 50 s |
Is 21710 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21710 ÷ 2 = 10855) | 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 | Yes (21710 ÷ 5 = 4342) | 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 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. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (21710 ÷ 10 = 2171) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 21710 a prime number?
No. 21710 = 2 × 5 × 13 × 167, so it is divisible by 2.
What are the factors of 21710?
1, 2, 5, 10, 13, 26, 65, 130, 167, 334, 835, 1670, 2171, 4342, 10855, 21710.
What is 21710 in binary?
101010011001110 (hexadecimal 54CE, octal 52316).
What is the square root of 21710?
About 147.3431.
Is 21710 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 21710?
It is a composite number with 16 divisors.