The number 4967
4967 is a twin prime (4967 and 4969 are both prime) and the 664th prime number. Its only divisors are 1 and 4967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4967: a twin prime (4967 and 4969 are both prime); the 664th prime number.
- 2
4967 is prime, so its only factors are 1 and 4967. It is the 664th prime; the next prime is 4969 and the one before is 4957.
- 3
The divisors add up to 4968; without 4967 itself that is 1, so 4967 is deficient (1 is less than 4967). Euler's totient φ(4967) = 4966 numbers up to 4967 share no factor with it.
- 4
The digits of 4967 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
4967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4968 |
| Euler totient φ(n) | 4966 |
| Square | 24671089 |
| Cube | 122541299063 |
| Square root | 70.476947 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 165 |
| Scientific notation | 4.967 × |
4967 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and sixty-seven |
| Binary (base 2) | 1001101100111 |
| Octal (base 8) | 11547 |
| Hexadecimal (base 16) | 1367 |
| Base 3 | 20210222 |
| As time | 4967 seconds = 1 h 22 min 47 s |
Is 4967 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 4) | 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 8) | 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 4967 a prime number?
Yes. 4967 is divisible only by 1 and itself.
What are the factors of 4967?
1, 4967.
What is 4967 in binary?
1001101100111 (hexadecimal 1367, octal 11547).
What is the square root of 4967?
About 70.4769.
Is 4967 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 4967?
4967 is a twin prime (4967 and 4969 are both prime); the 664th prime number.