The number 31244
31244 is a composite number with 12 divisors. Its prime factorisation is × 73 × 107. Divisors (12): 1, 2, 4, 73, 107, 146, 214, 292, 428, 7811, 15622, 31244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31244 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31244 is composite. Its prime factorisation is
- 3
The divisors add up to 55944; without 31244 itself that is 24700, so 31244 is deficient (24700 is less than 31244). Euler's totient φ(31244) = 15264 numbers up to 31244 share no factor with it.
- 4
The digits of 31244 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31244 = 2^{2} \times 73 \times 107 \]31244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55944 |
| Euler totient φ(n) | 15264 |
| Square | 976187536 |
| Cube | 30500003374784 |
| Square root | 176.759724 (= 2√7811) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1244 × |
31244 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and forty-four |
| Binary (base 2) | 111101000001100 |
| Octal (base 8) | 75014 |
| Hexadecimal (base 16) | 7A0C |
| Base 3 | 1120212012 |
| As time | 31244 seconds = 8 h 40 min 44 s |
Is 31244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31244 ÷ 2 = 15622) | 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 | Yes (31244 ÷ 4 = 7811) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31244 a prime number?
No. 31244 = × 73 × 107, so it is divisible by 2.
What are the factors of 31244?
1, 2, 4, 73, 107, 146, 214, 292, 428, 7811, 15622, 31244.
What is 31244 in binary?
111101000001100 (hexadecimal 7A0C, octal 75014).
What is the square root of 31244?
About 176.7597, exactly 2√7811.
Is 31244 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31244?
It is a composite number with 12 divisors.