The number 21294
21294 is a composite number with 36 divisors. Its prime factorisation is 2 × × 7 × . Divisors (36): 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91 … 21294.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21294: a Harshad number: divisible by its digit sum 18.
- 2
21294 is composite. Its prime factorisation is
- 3
The divisors add up to 57096; without 21294 itself that is 35802, so 21294 is abundant (35802 is more than 21294). Euler's totient φ(21294) = 5616 numbers up to 21294 share no factor with it.
- 4
The digits of 21294 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21294 = 2 \times 3^{2} \times 7 \times 13^{2} \]21294 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 57096 |
| Euler totient φ(n) | 5616 |
| Square | 453434436 |
| Cube | 9655432880184 |
| Square root | 145.924638 (= 39√14) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1294 × |
21294 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand two hundred and ninety-four |
| Binary (base 2) | 101001100101110 |
| Octal (base 8) | 51456 |
| Hexadecimal (base 16) | 532E |
| Base 3 | 1002012200 |
| As time | 21294 seconds = 5 h 54 min 54 s |
Is 21294 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21294 ÷ 2 = 10647) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21294 ÷ 3 = 7098) | 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 (21294 ÷ 6 = 3549) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (21294 ÷ 7 = 3042) | 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 | Yes (21294 ÷ 9 = 2366) | 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 9) | 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 21294 a prime number?
No. 21294 = 2 × × 7 × , so it is divisible by 2.
What are the factors of 21294?
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 169, 182, 234, 273, 338, 507, 546, 819, 1014, 1183, 1521, 1638, 2366, 3042, 3549, 7098, 10647, 21294.
What is 21294 in binary?
101001100101110 (hexadecimal 532E, octal 51456).
What is the square root of 21294?
About 145.9246, exactly 39√14.
Is 21294 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 21294?
21294 is a Harshad number: divisible by its digit sum 18.