The number 31042
31042 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 83. Divisors (16): 1, 2, 11, 17, 22, 34, 83, 166, 187, 374, 913, 1411, 1826, 2822, 15521, 31042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31042 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 31042 itself that is 23390, so 31042 is deficient (23390 is less than 31042). Euler's totient φ(31042) = 13120 numbers up to 31042 share no factor with it.
- 4
The digits of 31042 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31042 = 2 \times 11 \times 17 \times 83 \]
31042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 13120 |
| Square | 963605764 |
| Cube | 29912250126088 |
| Square root | 176.187400 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.1042 × |
31042 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and forty-two |
| Binary (base 2) | 111100101000010 |
| Octal (base 8) | 74502 |
| Hexadecimal (base 16) | 7942 |
| Base 3 | 1120120201 |
| As time | 31042 seconds = 8 h 37 min 22 s |
Is 31042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31042 ÷ 2 = 15521) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (31042 ÷ 11 = 2822) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31042 a prime number?
No. 31042 = 2 × 11 × 17 × 83, so it is divisible by 2.
What are the factors of 31042?
1, 2, 11, 17, 22, 34, 83, 166, 187, 374, 913, 1411, 1826, 2822, 15521, 31042.
What is 31042 in binary?
111100101000010 (hexadecimal 7942, octal 74502).
What is the square root of 31042?
About 176.1874.
Is 31042 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31042?
It is a composite number with 16 divisors.