The number 21324
21324 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1777. Divisors (12): 1, 2, 3, 4, 6, 12, 1777, 3554, 5331, 7108, 10662, 21324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21324: a Harshad number: divisible by its digit sum 12.
- 2
21324 is composite. Its prime factorisation is
- 3
The divisors add up to 49784; without 21324 itself that is 28460, so 21324 is abundant (28460 is more than 21324). Euler's totient φ(21324) = 7104 numbers up to 21324 share no factor with it.
- 4
The digits of 21324 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21324 = 2^{2} \times 3 \times 1777 \]21324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49784 |
| Euler totient φ(n) | 7104 |
| Square | 454712976 |
| Cube | 9696299500224 |
| Square root | 146.027395 (= 2√5331) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1324 × |
21324 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and twenty-four |
| Binary (base 2) | 101001101001100 |
| Octal (base 8) | 51514 |
| Hexadecimal (base 16) | 534C |
| Base 3 | 1002020210 |
| As time | 21324 seconds = 5 h 55 min 24 s |
Is 21324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21324 ÷ 2 = 10662) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21324 ÷ 3 = 7108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21324 ÷ 4 = 5331) | 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 (21324 ÷ 6 = 3554) | 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 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (21324 ÷ 12 = 1777) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21324 a prime number?
No. 21324 = × 3 × 1777, so it is divisible by 2.
What are the factors of 21324?
1, 2, 3, 4, 6, 12, 1777, 3554, 5331, 7108, 10662, 21324.
What is 21324 in binary?
101001101001100 (hexadecimal 534C, octal 51514).
What is the square root of 21324?
About 146.0274, exactly 2√5331.
Is 21324 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 21324?
21324 is a Harshad number: divisible by its digit sum 12.