The number 7213
7213 is a twin prime (7211 and 7213 are both prime) and the 922nd prime number. Its only divisors are 1 and 7213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7213: a twin prime (7211 and 7213 are both prime); the 922nd prime number.
- 2
7213 is prime, so its only factors are 1 and 7213. It is the 922nd prime; the next prime is 7219 and the one before is 7211.
- 3
The divisors add up to 7214; without 7213 itself that is 1, so 7213 is deficient (1 is less than 7213). Euler's totient φ(7213) = 7212 numbers up to 7213 share no factor with it.
- 4
The digits of 7213 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 44 steps to reach 1.
7213 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7214 |
| Euler totient φ(n) | 7212 |
| Square | 52027369 |
| Cube | 375273412597 |
| Square root | 84.929382 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 7.213 × |
7213 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and thirteen |
| Binary (base 2) | 1110000101101 |
| Octal (base 8) | 16055 |
| Hexadecimal (base 16) | 1C2D |
| Base 3 | 100220011 |
| As time | 7213 seconds = 2 h 0 min 13 s |
Is 7213 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 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 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 8) | 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 7213 a prime number?
Yes. 7213 is divisible only by 1 and itself.
What are the factors of 7213?
1, 7213.
What is 7213 in binary?
1110000101101 (hexadecimal 1C2D, octal 16055).
What is the square root of 7213?
About 84.9294.
Is 7213 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7213?
7213 is a twin prime (7211 and 7213 are both prime); the 922nd prime number.