The number 31222
31222 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 233. Divisors (8): 1, 2, 67, 134, 233, 466, 15611, 31222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31222 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31222 is composite. Its prime factorisation is
- 3
The divisors add up to 47736; without 31222 itself that is 16514, so 31222 is deficient (16514 is less than 31222). Euler's totient φ(31222) = 15312 numbers up to 31222 share no factor with it.
- 4
The digits of 31222 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31222 = 2 \times 67 \times 233 \]
31222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47736 |
| Euler totient φ(n) | 15312 |
| Square | 974813284 |
| Cube | 30435620353048 |
| Square root | 176.697482 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 108 |
| Scientific notation | 3.1222 × |
31222 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and twenty-two |
| Binary (base 2) | 111100111110110 |
| Octal (base 8) | 74766 |
| Hexadecimal (base 16) | 79F6 |
| Base 3 | 1120211101 |
| As time | 31222 seconds = 8 h 40 min 22 s |
Is 31222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31222 ÷ 2 = 15611) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31222 a prime number?
No. 31222 = 2 × 67 × 233, so it is divisible by 2.
What are the factors of 31222?
1, 2, 67, 134, 233, 466, 15611, 31222.
What is 31222 in binary?
111100111110110 (hexadecimal 79F6, octal 74766).
What is the square root of 31222?
About 176.6975.
Is 31222 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31222?
It is a composite number with 8 divisors.