The number 21414
21414 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 83. Divisors (16): 1, 2, 3, 6, 43, 83, 86, 129, 166, 249, 258, 498, 3569, 7138, 10707, 21414.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21414 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21414 is composite. Its prime factorisation is
- 3
The divisors add up to 44352; without 21414 itself that is 22938, so 21414 is abundant (22938 is more than 21414). Euler's totient φ(21414) = 6888 numbers up to 21414 share no factor with it.
- 4
The digits of 21414 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21414 = 2 \times 3 \times 43 \times 83 \]
21414 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44352 |
| Euler totient φ(n) | 6888 |
| Square | 458559396 |
| Cube | 9819590905944 |
| Square root | 146.335232 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.1414 × |
21414 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and fourteen |
| Binary (base 2) | 101001110100110 |
| Octal (base 8) | 51646 |
| Hexadecimal (base 16) | 53A6 |
| Base 3 | 1002101010 |
| As time | 21414 seconds = 5 h 56 min 54 s |
Is 21414 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21414 ÷ 2 = 10707) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21414 ÷ 3 = 7138) | 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 (21414 ÷ 6 = 3569) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 | No (remainder 8) | 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 21414 a prime number?
No. 21414 = 2 × 3 × 43 × 83, so it is divisible by 2.
What are the factors of 21414?
1, 2, 3, 6, 43, 83, 86, 129, 166, 249, 258, 498, 3569, 7138, 10707, 21414.
What is 21414 in binary?
101001110100110 (hexadecimal 53A6, octal 51646).
What is the square root of 21414?
About 146.3352.
Is 21414 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 21414?
It is a composite number with 16 divisors.