The number 31226
31226 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1201. Divisors (8): 1, 2, 13, 26, 1201, 2402, 15613, 31226.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31226 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31226 is composite. Its prime factorisation is
- 3
The divisors add up to 50484; without 31226 itself that is 19258, so 31226 is deficient (19258 is less than 31226). Euler's totient φ(31226) = 14400 numbers up to 31226 share no factor with it.
- 4
The digits of 31226 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 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31226 = 2 \times 13 \times 1201 \]
31226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50484 |
| Euler totient φ(n) | 14400 |
| Square | 975063076 |
| Cube | 30447319611176 |
| Square root | 176.708800 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1226 × |
31226 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and twenty-six |
| Binary (base 2) | 111100111111010 |
| Octal (base 8) | 74772 |
| Hexadecimal (base 16) | 79FA |
| Base 3 | 1120211112 |
| As time | 31226 seconds = 8 h 40 min 26 s |
Is 31226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31226 ÷ 2 = 15613) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31226 a prime number?
No. 31226 = 2 × 13 × 1201, so it is divisible by 2.
What are the factors of 31226?
1, 2, 13, 26, 1201, 2402, 15613, 31226.
What is 31226 in binary?
111100111111010 (hexadecimal 79FA, octal 74772).
What is the square root of 31226?
About 176.7088.
Is 31226 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31226?
It is a composite number with 8 divisors.