The number 37490
37490 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 23 × 163. Divisors (16): 1, 2, 5, 10, 23, 46, 115, 163, 230, 326, 815, 1630, 3749, 7498, 18745, 37490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37490: a Harshad number: divisible by its digit sum 23.
- 2
37490 is composite. Its prime factorisation is
- 3
The divisors add up to 70848; without 37490 itself that is 33358, so 37490 is deficient (33358 is less than 37490). Euler's totient φ(37490) = 14256 numbers up to 37490 share no factor with it.
- 4
The digits of 37490 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37490 = 2 \times 5 \times 23 \times 163 \]
37490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70848 |
| Euler totient φ(n) | 14256 |
| Square | 1405500100 |
| Cube | 52692198749000 |
| Square root | 193.623346 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.749 × |
37490 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and ninety |
| Binary (base 2) | 1001001001110010 |
| Octal (base 8) | 111162 |
| Hexadecimal (base 16) | 9272 |
| Base 3 | 1220102112 |
| As time | 37490 seconds = 10 h 24 min 50 s |
Is 37490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37490 ÷ 2 = 18745) | 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 | Yes (37490 ÷ 5 = 7498) | 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 | Yes (37490 ÷ 10 = 3749) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 37490 a prime number?
No. 37490 = 2 × 5 × 23 × 163, so it is divisible by 2.
What are the factors of 37490?
1, 2, 5, 10, 23, 46, 115, 163, 230, 326, 815, 1630, 3749, 7498, 18745, 37490.
What is 37490 in binary?
1001001001110010 (hexadecimal 9272, octal 111162).
What is the square root of 37490?
About 193.6233.
Is 37490 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37490?
37490 is a Harshad number: divisible by its digit sum 23.