The number 31108
31108 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 101. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 101, 154, 202, 308, 404, 707 … 31108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31108 is composite. Its prime factorisation is
- 3
The divisors add up to 68544; without 31108 itself that is 37436, so 31108 is abundant (37436 is more than 31108). Euler's totient φ(31108) = 12000 numbers up to 31108 share no factor with it.
- 4
The digits of 31108 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31108 = 2^{2} \times 7 \times 11 \times 101 \]31108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68544 |
| Euler totient φ(n) | 12000 |
| Square | 967707664 |
| Cube | 30103450011712 |
| Square root | 176.374601 (= 2√7777) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1108 × |
31108 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and eight |
| Binary (base 2) | 111100110000100 |
| Octal (base 8) | 74604 |
| Hexadecimal (base 16) | 7984 |
| Base 3 | 1120200011 |
| As time | 31108 seconds = 8 h 38 min 28 s |
Is 31108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31108 ÷ 2 = 15554) | 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 (31108 ÷ 4 = 7777) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31108 ÷ 7 = 4444) | 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 4) | 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 | Yes (31108 ÷ 11 = 2828) | 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 31108 a prime number?
No. 31108 = × 7 × 11 × 101, so it is divisible by 2.
What are the factors of 31108?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 101, 154, 202, 308, 404, 707, 1111, 1414, 2222, 2828, 4444, 7777, 15554, 31108.
What is 31108 in binary?
111100110000100 (hexadecimal 7984, octal 74604).
What is the square root of 31108?
About 176.3746, exactly 2√7777.
Is 31108 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31108?
It is a composite number with 24 divisors.