The number 37142
37142 is a composite number with 12 divisors. Its prime factorisation is 2 × × 379. Divisors (12): 1, 2, 7, 14, 49, 98, 379, 758, 2653, 5306, 18571, 37142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37142: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37142 is composite. Its prime factorisation is
- 3
The divisors add up to 64980; without 37142 itself that is 27838, so 37142 is deficient (27838 is less than 37142). Euler's totient φ(37142) = 15876 numbers up to 37142 share no factor with it.
- 4
The digits of 37142 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37142 = 2 \times 7^{2} \times 379 \]37142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64980 |
| Euler totient φ(n) | 15876 |
| Square | 1379528164 |
| Cube | 51238435067288 |
| Square root | 192.722599 (= 7√758) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7142 × |
37142 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and forty-two |
| Binary (base 2) | 1001000100010110 |
| Octal (base 8) | 110426 |
| Hexadecimal (base 16) | 9116 |
| Base 3 | 1212221122 |
| As time | 37142 seconds = 10 h 19 min 2 s |
Is 37142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37142 ÷ 2 = 18571) | 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 | Yes (37142 ÷ 7 = 5306) | 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 8) | 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 6) | 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 37142 a prime number?
No. 37142 = 2 × × 379, so it is divisible by 2.
What are the factors of 37142?
1, 2, 7, 14, 49, 98, 379, 758, 2653, 5306, 18571, 37142.
What is 37142 in binary?
1001000100010110 (hexadecimal 9116, octal 110426).
What is the square root of 37142?
About 192.7226, exactly 7√758.
Is 37142 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37142?
37142 is a happy number: repeatedly adding the squares of its digits reaches 1.