The number 37990
37990 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 29 × 131. Divisors (16): 1, 2, 5, 10, 29, 58, 131, 145, 262, 290, 655, 1310, 3799, 7598, 18995, 37990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37990 is composite. Its prime factorisation is
- 3
The divisors add up to 71280; without 37990 itself that is 33290, so 37990 is deficient (33290 is less than 37990). Euler's totient φ(37990) = 14560 numbers up to 37990 share no factor with it.
- 4
The digits of 37990 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37990 = 2 \times 5 \times 29 \times 131 \]
37990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71280 |
| Euler totient φ(n) | 14560 |
| Square | 1443240100 |
| Cube | 54828691399000 |
| Square root | 194.910236 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.799 × |
37990 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and ninety |
| Binary (base 2) | 1001010001100110 |
| Octal (base 8) | 112146 |
| Hexadecimal (base 16) | 9466 |
| Base 3 | 1221010001 |
| As time | 37990 seconds = 10 h 33 min 10 s |
Is 37990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37990 ÷ 2 = 18995) | 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 (37990 ÷ 5 = 7598) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37990 ÷ 10 = 3799) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 37990 a prime number?
No. 37990 = 2 × 5 × 29 × 131, so it is divisible by 2.
What are the factors of 37990?
1, 2, 5, 10, 29, 58, 131, 145, 262, 290, 655, 1310, 3799, 7598, 18995, 37990.
What is 37990 in binary?
1001010001100110 (hexadecimal 9466, octal 112146).
What is the square root of 37990?
About 194.9102.
Is 37990 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37990?
It is a composite number with 16 divisors.