The number 31223
31223 is the 3364th prime number. Its only divisors are 1 and 31223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31223: the 3364th prime number.
- 2
31223 is prime, so its only factors are 1 and 31223. It is the 3364th prime; the next prime is 31231 and the one before is 31219.
- 3
The divisors add up to 31224; without 31223 itself that is 1, so 31223 is deficient (1 is less than 31223). Euler's totient φ(31223) = 31222 numbers up to 31223 share no factor with it.
- 4
The digits of 31223 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
31223 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31224 |
| Euler totient φ(n) | 31222 |
| Square | 974875729 |
| Cube | 30438544886567 |
| Square root | 176.700311 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 108 |
| Scientific notation | 3.1223 × |
31223 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and twenty-three |
| Binary (base 2) | 111100111110111 |
| Octal (base 8) | 74767 |
| Hexadecimal (base 16) | 79F7 |
| Base 3 | 1120211102 |
| As time | 31223 seconds = 8 h 40 min 23 s |
Is 31223 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 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 31223 a prime number?
Yes. 31223 is divisible only by 1 and itself.
What are the factors of 31223?
1, 31223.
What is 31223 in binary?
111100111110111 (hexadecimal 79F7, octal 74767).
What is the square root of 31223?
About 176.7003.
Is 31223 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31223?
31223 is the 3364th prime number.