The number 7331
7331 is a twin prime (7331 and 7333 are both prime) and the 934th prime number. Its only divisors are 1 and 7331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7331: a twin prime (7331 and 7333 are both prime); the 934th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7331 is prime, so its only factors are 1 and 7331. It is the 934th prime; the next prime is 7333 and the one before is 7321.
- 3
The divisors add up to 7332; without 7331 itself that is 1, so 7331 is deficient (1 is less than 7331). Euler's totient φ(7331) = 7330 numbers up to 7331 share no factor with it.
- 4
The digits of 7331 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
7331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7332 |
| Euler totient φ(n) | 7330 |
| Square | 53743561 |
| Cube | 393994045691 |
| Square root | 85.621259 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 7.331 × |
7331 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and thirty-one |
| Binary (base 2) | 1110010100011 |
| Octal (base 8) | 16243 |
| Hexadecimal (base 16) | 1CA3 |
| Base 3 | 101001112 |
| As time | 7331 seconds = 2 h 2 min 11 s |
Is 7331 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 1) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 7331 a prime number?
Yes. 7331 is divisible only by 1 and itself.
What are the factors of 7331?
1, 7331.
What is 7331 in binary?
1110010100011 (hexadecimal 1CA3, octal 16243).
What is the square root of 7331?
About 85.6213.
Is 7331 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7331?
7331 is a twin prime (7331 and 7333 are both prime); the 934th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.