The number 37994
37994 is a composite number with 12 divisors. Its prime factorisation is 2 × × 157. Divisors (12): 1, 2, 11, 22, 121, 157, 242, 314, 1727, 3454, 18997, 37994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37994: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37994 is composite. Its prime factorisation is
- 3
The divisors add up to 63042; without 37994 itself that is 25048, so 37994 is deficient (25048 is less than 37994). Euler's totient φ(37994) = 17160 numbers up to 37994 share no factor with it.
- 4
The digits of 37994 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37994 = 2 \times 11^{2} \times 157 \]37994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63042 |
| Euler totient φ(n) | 17160 |
| Square | 1443544036 |
| Cube | 54846012103784 |
| Square root | 194.920497 (= 11√314) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.7994 × |
37994 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and ninety-four |
| Binary (base 2) | 1001010001101010 |
| Octal (base 8) | 112152 |
| Hexadecimal (base 16) | 946A |
| Base 3 | 1221010012 |
| As time | 37994 seconds = 10 h 33 min 14 s |
Is 37994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37994 ÷ 2 = 18997) | 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 4) | 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 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37994 ÷ 11 = 3454) | 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 37994 a prime number?
No. 37994 = 2 × × 157, so it is divisible by 2.
What are the factors of 37994?
1, 2, 11, 22, 121, 157, 242, 314, 1727, 3454, 18997, 37994.
What is 37994 in binary?
1001010001101010 (hexadecimal 946A, octal 112152).
What is the square root of 37994?
About 194.9205, exactly 11√314.
Is 37994 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 37994?
37994 is a happy number: repeatedly adding the squares of its digits reaches 1.