The number 31088
31088 is a composite number with 20 divisors. Its prime factorisation is × 29 × 67. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 67, 116, 134, 232, 268, 464, 536, 1072, 1943 … 31088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31088 is composite. Its prime factorisation is
- 3
The divisors add up to 63240; without 31088 itself that is 32152, so 31088 is abundant (32152 is more than 31088). Euler's totient φ(31088) = 14784 numbers up to 31088 share no factor with it.
- 4
The digits of 31088 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31088 = 2^{4} \times 29 \times 67 \]31088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 63240 |
| Euler totient φ(n) | 14784 |
| Square | 966463744 |
| Cube | 30045424873472 |
| Square root | 176.317895 (= 4√1943) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1088 × |
31088 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and eighty-eight |
| Binary (base 2) | 111100101110000 |
| Octal (base 8) | 74560 |
| Hexadecimal (base 16) | 7970 |
| Base 3 | 1120122102 |
| As time | 31088 seconds = 8 h 38 min 8 s |
Is 31088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31088 ÷ 2 = 15544) | 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 (31088 ÷ 4 = 7772) | 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 2) | 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 (31088 ÷ 8 = 3886) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 31088 a prime number?
No. 31088 = × 29 × 67, so it is divisible by 2.
What are the factors of 31088?
1, 2, 4, 8, 16, 29, 58, 67, 116, 134, 232, 268, 464, 536, 1072, 1943, 3886, 7772, 15544, 31088.
What is 31088 in binary?
111100101110000 (hexadecimal 7970, octal 74560).
What is the square root of 31088?
About 176.3179, exactly 4√1943.
Is 31088 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31088?
It is a composite number with 20 divisors.