The number 9473
9473 is the 1174th prime number. Its only divisors are 1 and 9473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9473: the 1174th prime number.
- 2
9473 is prime, so its only factors are 1 and 9473. It is the 1174th prime; the next prime is 9479 and the one before is 9467.
- 3
The divisors add up to 9474; without 9473 itself that is 1, so 9473 is deficient (1 is less than 9473). Euler's totient φ(9473) = 9472 numbers up to 9473 share no factor with it.
- 4
The digits of 9473 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
9473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9474 |
| Euler totient φ(n) | 9472 |
| Square | 89737729 |
| Cube | 850085506817 |
| Square root | 97.329338 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.473 × |
9473 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and seventy-three |
| Binary (base 2) | 10010100000001 |
| Octal (base 8) | 22401 |
| Hexadecimal (base 16) | 2501 |
| Base 3 | 110222212 |
| As time | 9473 seconds = 2 h 37 min 53 s |
Is 9473 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 1) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9473 a prime number?
Yes. 9473 is divisible only by 1 and itself.
What are the factors of 9473?
1, 9473.
What is 9473 in binary?
10010100000001 (hexadecimal 2501, octal 22401).
What is the square root of 9473?
About 97.3293.
Is 9473 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9473?
9473 is the 1174th prime number.