The number 24967
24967 is the 2758th prime number. Its only divisors are 1 and 24967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24967: the 2758th prime number.
- 2
24967 is prime, so its only factors are 1 and 24967. It is the 2758th prime; the next prime is 24971 and the one before is 24953.
- 3
The divisors add up to 24968; without 24967 itself that is 1, so 24967 is deficient (1 is less than 24967). Euler's totient φ(24967) = 24966 numbers up to 24967 share no factor with it.
- 4
The digits of 24967 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
24967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24968 |
| Euler totient φ(n) | 24966 |
| Square | 623351089 |
| Cube | 15563206639063 |
| Square root | 158.009493 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4967 × |
24967 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and sixty-seven |
| Binary (base 2) | 110000110000111 |
| Octal (base 8) | 60607 |
| Hexadecimal (base 16) | 6187 |
| Base 3 | 1021020201 |
| As time | 24967 seconds = 6 h 56 min 7 s |
Is 24967 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 1) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24967 a prime number?
Yes. 24967 is divisible only by 1 and itself.
What are the factors of 24967?
1, 24967.
What is 24967 in binary?
110000110000111 (hexadecimal 6187, octal 60607).
What is the square root of 24967?
About 158.0095.
Is 24967 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 24967?
24967 is the 2758th prime number.