The number 37390
37390 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3739. Divisors (8): 1, 2, 5, 10, 3739, 7478, 18695, 37390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37390 is composite. Its prime factorisation is
- 3
The divisors add up to 67320; without 37390 itself that is 29930, so 37390 is deficient (29930 is less than 37390). Euler's totient φ(37390) = 14952 numbers up to 37390 share no factor with it.
- 4
The digits of 37390 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37390 = 2 \times 5 \times 3739 \]
37390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67320 |
| Euler totient φ(n) | 14952 |
| Square | 1398012100 |
| Cube | 52271672419000 |
| Square root | 193.364940 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.739 × |
37390 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and ninety |
| Binary (base 2) | 1001001000001110 |
| Octal (base 8) | 111016 |
| Hexadecimal (base 16) | 920E |
| Base 3 | 1220021211 |
| As time | 37390 seconds = 10 h 23 min 10 s |
Is 37390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37390 ÷ 2 = 18695) | 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 (37390 ÷ 5 = 7478) | 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 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37390 ÷ 10 = 3739) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37390 a prime number?
No. 37390 = 2 × 5 × 3739, so it is divisible by 2.
What are the factors of 37390?
1, 2, 5, 10, 3739, 7478, 18695, 37390.
What is 37390 in binary?
1001001000001110 (hexadecimal 920E, octal 111016).
What is the square root of 37390?
About 193.3649.
Is 37390 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37390?
It is a composite number with 8 divisors.