The number 37442
37442 is a composite number with 8 divisors. Its prime factorisation is 2 × 97 × 193. Divisors (8): 1, 2, 97, 193, 194, 386, 18721, 37442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37442: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37442 is composite. Its prime factorisation is
- 3
The divisors add up to 57036; without 37442 itself that is 19594, so 37442 is deficient (19594 is less than 37442). Euler's totient φ(37442) = 18432 numbers up to 37442 share no factor with it.
- 4
The digits of 37442 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37442 = 2 \times 97 \times 193 \]
37442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57036 |
| Euler totient φ(n) | 18432 |
| Square | 1401903364 |
| Cube | 52490065754888 |
| Square root | 193.499354 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.7442 × |
37442 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and forty-two |
| Binary (base 2) | 1001001001000010 |
| Octal (base 8) | 111102 |
| Hexadecimal (base 16) | 9242 |
| Base 3 | 1220100202 |
| As time | 37442 seconds = 10 h 24 min 2 s |
Is 37442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37442 ÷ 2 = 18721) | 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 2) | 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 9) | 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 37442 a prime number?
No. 37442 = 2 × 97 × 193, so it is divisible by 2.
What are the factors of 37442?
1, 2, 97, 193, 194, 386, 18721, 37442.
What is 37442 in binary?
1001001001000010 (hexadecimal 9242, octal 111102).
What is the square root of 37442?
About 193.4994.
Is 37442 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37442?
37442 is a happy number: repeatedly adding the squares of its digits reaches 1.