The number 37494
37494 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2083. Divisors (12): 1, 2, 3, 6, 9, 18, 2083, 4166, 6249, 12498, 18747, 37494.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37494 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37494 is composite. Its prime factorisation is
- 3
The divisors add up to 81276; without 37494 itself that is 43782, so 37494 is abundant (43782 is more than 37494). Euler's totient φ(37494) = 12492 numbers up to 37494 share no factor with it.
- 4
The digits of 37494 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37494 = 2 \times 3^{2} \times 2083 \]37494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81276 |
| Euler totient φ(n) | 12492 |
| Square | 1405800036 |
| Cube | 52709066549784 |
| Square root | 193.633675 (= 3√4166) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7494 × |
37494 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and ninety-four |
| Binary (base 2) | 1001001001110110 |
| Octal (base 8) | 111166 |
| Hexadecimal (base 16) | 9276 |
| Base 3 | 1220102200 |
| As time | 37494 seconds = 10 h 24 min 54 s |
Is 37494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37494 ÷ 2 = 18747) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37494 ÷ 3 = 12498) | 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 | Yes (37494 ÷ 6 = 6249) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (37494 ÷ 9 = 4166) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37494 a prime number?
No. 37494 = 2 × × 2083, so it is divisible by 2.
What are the factors of 37494?
1, 2, 3, 6, 9, 18, 2083, 4166, 6249, 12498, 18747, 37494.
What is 37494 in binary?
1001001001110110 (hexadecimal 9276, octal 111166).
What is the square root of 37494?
About 193.6337, exactly 3√4166.
Is 37494 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 37494?
It is a composite number with 12 divisors.