The number 31142
31142 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 677. Divisors (8): 1, 2, 23, 46, 677, 1354, 15571, 31142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31142: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31142 is composite. Its prime factorisation is
- 3
The divisors add up to 48816; without 31142 itself that is 17674, so 31142 is deficient (17674 is less than 31142). Euler's totient φ(31142) = 14872 numbers up to 31142 share no factor with it.
- 4
The digits of 31142 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 222 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31142 = 2 \times 23 \times 677 \]
31142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48816 |
| Euler totient φ(n) | 14872 |
| Square | 969824164 |
| Cube | 30202264115288 |
| Square root | 176.470961 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 222 |
| Scientific notation | 3.1142 × |
31142 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and forty-two |
| Binary (base 2) | 111100110100110 |
| Octal (base 8) | 74646 |
| Hexadecimal (base 16) | 79A6 |
| Base 3 | 1120201102 |
| As time | 31142 seconds = 8 h 39 min 2 s |
Is 31142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31142 ÷ 2 = 15571) | 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 2) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 31142 a prime number?
No. 31142 = 2 × 23 × 677, so it is divisible by 2.
What are the factors of 31142?
1, 2, 23, 46, 677, 1354, 15571, 31142.
What is 31142 in binary?
111100110100110 (hexadecimal 79A6, octal 74646).
What is the square root of 31142?
About 176.4710.
Is 31142 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31142?
31142 is a happy number: repeatedly adding the squares of its digits reaches 1.