The number 9467
9467 is the 1173rd prime number. Its only divisors are 1 and 9467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9467: the 1173rd prime number.
- 2
9467 is prime, so its only factors are 1 and 9467. It is the 1173rd prime; the next prime is 9473 and the one before is 9463.
- 3
The divisors add up to 9468; without 9467 itself that is 1, so 9467 is deficient (1 is less than 9467). Euler's totient φ(9467) = 9466 numbers up to 9467 share no factor with it.
- 4
The digits of 9467 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 104 steps to reach 1.
9467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9468 |
| Euler totient φ(n) | 9466 |
| Square | 89624089 |
| Cube | 848471250563 |
| Square root | 97.298510 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.467 × |
9467 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and sixty-seven |
| Binary (base 2) | 10010011111011 |
| Octal (base 8) | 22373 |
| Hexadecimal (base 16) | 24FB |
| Base 3 | 110222122 |
| As time | 9467 seconds = 2 h 37 min 47 s |
Is 9467 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 3) | 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 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 7) | 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 9467 a prime number?
Yes. 9467 is divisible only by 1 and itself.
What are the factors of 9467?
1, 9467.
What is 9467 in binary?
10010011111011 (hexadecimal 24FB, octal 22373).
What is the square root of 9467?
About 97.2985.
Is 9467 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9467?
9467 is the 1173rd prime number.