The number 37090
37090 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3709. Divisors (8): 1, 2, 5, 10, 3709, 7418, 18545, 37090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37090: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37090 is composite. Its prime factorisation is
- 3
The divisors add up to 66780; without 37090 itself that is 29690, so 37090 is deficient (29690 is less than 37090). Euler's totient φ(37090) = 14832 numbers up to 37090 share no factor with it.
- 4
The digits of 37090 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37090 = 2 \times 5 \times 3709 \]
37090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66780 |
| Euler totient φ(n) | 14832 |
| Square | 1375668100 |
| Cube | 51023529829000 |
| Square root | 192.587642 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.709 × |
37090 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and ninety |
| Binary (base 2) | 1001000011100010 |
| Octal (base 8) | 110342 |
| Hexadecimal (base 16) | 90E2 |
| Base 3 | 1212212201 |
| As time | 37090 seconds = 10 h 18 min 10 s |
Is 37090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37090 ÷ 2 = 18545) | 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 | Yes (37090 ÷ 5 = 7418) | 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 | Yes (37090 ÷ 10 = 3709) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37090 a prime number?
No. 37090 = 2 × 5 × 3709, so it is divisible by 2.
What are the factors of 37090?
1, 2, 5, 10, 3709, 7418, 18545, 37090.
What is 37090 in binary?
1001000011100010 (hexadecimal 90E2, octal 110342).
What is the square root of 37090?
About 192.5876.
Is 37090 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37090?
37090 is a happy number: repeatedly adding the squares of its digits reaches 1.