The number 21467
21467 is the 2407th prime number. Its only divisors are 1 and 21467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21467: the 2407th prime number.
- 2
21467 is prime, so its only factors are 1 and 21467. It is the 2407th prime; the next prime is 21481 and the one before is 21433.
- 3
The divisors add up to 21468; without 21467 itself that is 1, so 21467 is deficient (1 is less than 21467). Euler's totient φ(21467) = 21466 numbers up to 21467 share no factor with it.
- 4
The digits of 21467 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
21467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 21468 |
| Euler totient φ(n) | 21466 |
| Square | 460832089 |
| Cube | 9892682454563 |
| Square root | 146.516211 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.1467 × |
21467 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand four hundred and sixty-seven |
| Binary (base 2) | 101001111011011 |
| Octal (base 8) | 51733 |
| Hexadecimal (base 16) | 53DB |
| Base 3 | 1002110002 |
| As time | 21467 seconds = 5 h 57 min 47 s |
Is 21467 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21467 a prime number?
Yes. 21467 is divisible only by 1 and itself.
What are the factors of 21467?
1, 21467.
What is 21467 in binary?
101001111011011 (hexadecimal 53DB, octal 51733).
What is the square root of 21467?
About 146.5162.
Is 21467 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 21467?
21467 is the 2407th prime number.