The number 31144
31144 is a composite number with 16 divisors. Its prime factorisation is × 17 × 229. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 229, 458, 916, 1832, 3893, 7786, 15572, 31144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31144 is composite. Its prime factorisation is
- 3
The divisors add up to 62100; without 31144 itself that is 30956, so 31144 is deficient (30956 is less than 31144). Euler's totient φ(31144) = 14592 numbers up to 31144 share no factor with it.
- 4
The digits of 31144 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31144 = 2^{3} \times 17 \times 229 \]31144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62100 |
| Euler totient φ(n) | 14592 |
| Square | 969948736 |
| Cube | 30208083433984 |
| Square root | 176.476627 (= 2√7786) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1144 × |
31144 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and forty-four |
| Binary (base 2) | 111100110101000 |
| Octal (base 8) | 74650 |
| Hexadecimal (base 16) | 79A8 |
| Base 3 | 1120201111 |
| As time | 31144 seconds = 8 h 39 min 4 s |
Is 31144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31144 ÷ 2 = 15572) | 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 | Yes (31144 ÷ 4 = 7786) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (31144 ÷ 8 = 3893) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31144 a prime number?
No. 31144 = × 17 × 229, so it is divisible by 2.
What are the factors of 31144?
1, 2, 4, 8, 17, 34, 68, 136, 229, 458, 916, 1832, 3893, 7786, 15572, 31144.
What is 31144 in binary?
111100110101000 (hexadecimal 79A8, octal 74650).
What is the square root of 31144?
About 176.4766, exactly 2√7786.
Is 31144 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31144?
It is a composite number with 16 divisors.