The number 9013
9013 is a twin prime (9011 and 9013 are both prime) and the 1121st prime number. Its only divisors are 1 and 9013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9013: a twin prime (9011 and 9013 are both prime); the 1121st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9013 is prime, so its only factors are 1 and 9013. It is the 1121st prime; the next prime is 9029 and the one before is 9011.
- 3
The divisors add up to 9014; without 9013 itself that is 1, so 9013 is deficient (1 is less than 9013). Euler's totient φ(9013) = 9012 numbers up to 9013 share no factor with it.
- 4
The digits of 9013 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
9013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9014 |
| Euler totient φ(n) | 9012 |
| Square | 81234169 |
| Cube | 732163565197 |
| Square root | 94.936821 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.013 × |
9013 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and thirteen |
| Binary (base 2) | 10001100110101 |
| Octal (base 8) | 21465 |
| Hexadecimal (base 16) | 2335 |
| Base 3 | 110100211 |
| As time | 9013 seconds = 2 h 30 min 13 s |
Is 9013 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 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9013 a prime number?
Yes. 9013 is divisible only by 1 and itself.
What are the factors of 9013?
1, 9013.
What is 9013 in binary?
10001100110101 (hexadecimal 2335, octal 21465).
What is the square root of 9013?
About 94.9368.
Is 9013 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 9013?
9013 is a twin prime (9011 and 9013 are both prime); the 1121st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.