The number 21468
21468 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1789. Divisors (12): 1, 2, 3, 4, 6, 12, 1789, 3578, 5367, 7156, 10734, 21468.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21468 is composite. Its prime factorisation is
- 3
The divisors add up to 50120; without 21468 itself that is 28652, so 21468 is abundant (28652 is more than 21468). Euler's totient φ(21468) = 7152 numbers up to 21468 share no factor with it.
- 4
The digits of 21468 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21468 = 2^{2} \times 3 \times 1789 \]21468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50120 |
| Euler totient φ(n) | 7152 |
| Square | 460875024 |
| Cube | 9894065015232 |
| Square root | 146.519623 (= 2√5367) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.1468 × |
21468 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and sixty-eight |
| Binary (base 2) | 101001111011100 |
| Octal (base 8) | 51734 |
| Hexadecimal (base 16) | 53DC |
| Base 3 | 1002110010 |
| As time | 21468 seconds = 5 h 57 min 48 s |
Is 21468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21468 ÷ 2 = 10734) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21468 ÷ 3 = 7156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21468 ÷ 4 = 5367) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (21468 ÷ 6 = 3578) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 | Yes (21468 ÷ 12 = 1789) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21468 a prime number?
No. 21468 = × 3 × 1789, so it is divisible by 2.
What are the factors of 21468?
1, 2, 3, 4, 6, 12, 1789, 3578, 5367, 7156, 10734, 21468.
What is 21468 in binary?
101001111011100 (hexadecimal 53DC, octal 51734).
What is the square root of 21468?
About 146.5196, exactly 2√5367.
Is 21468 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 21468?
It is a composite number with 12 divisors.