The number 21714
21714 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 47. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 47, 66, 77, 94, 141 … 21714.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21714 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21714 is composite. Its prime factorisation is
- 3
The divisors add up to 55296; without 21714 itself that is 33582, so 21714 is abundant (33582 is more than 21714). Euler's totient φ(21714) = 5520 numbers up to 21714 share no factor with it.
- 4
The digits of 21714 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21714 = 2 \times 3 \times 7 \times 11 \times 47 \]
21714 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 55296 |
| Euler totient φ(n) | 5520 |
| Square | 471497796 |
| Cube | 10238103142344 |
| Square root | 147.356710 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.1714 × |
21714 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand seven hundred and fourteen |
| Binary (base 2) | 101010011010010 |
| Octal (base 8) | 52322 |
| Hexadecimal (base 16) | 54D2 |
| Base 3 | 1002210020 |
| As time | 21714 seconds = 6 h 1 min 54 s |
Is 21714 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21714 ÷ 2 = 10857) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21714 ÷ 3 = 7238) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21714 ÷ 6 = 3619) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (21714 ÷ 7 = 3102) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (21714 ÷ 11 = 1974) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21714 a prime number?
No. 21714 = 2 × 3 × 7 × 11 × 47, so it is divisible by 2.
What are the factors of 21714?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 47, 66, 77, 94, 141, 154, 231, 282, 329, 462, 517, 658, 987, 1034, 1551, 1974, 3102, 3619, 7238, 10857, 21714.
What is 21714 in binary?
101010011010010 (hexadecimal 54D2, octal 52322).
What is the square root of 21714?
About 147.3567.
Is 21714 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 21714?
It is a composite number with 32 divisors.