The number 37148
37148 is a composite number with 12 divisors. Its prime factorisation is × 37 × 251. Divisors (12): 1, 2, 4, 37, 74, 148, 251, 502, 1004, 9287, 18574, 37148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37148: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37148 is composite. Its prime factorisation is
- 3
The divisors add up to 67032; without 37148 itself that is 29884, so 37148 is deficient (29884 is less than 37148). Euler's totient φ(37148) = 18000 numbers up to 37148 share no factor with it.
- 4
The digits of 37148 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37148 = 2^{2} \times 37 \times 251 \]37148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67032 |
| Euler totient φ(n) | 18000 |
| Square | 1379973904 |
| Cube | 51263270585792 |
| Square root | 192.738164 (= 2√9287) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.7148 × |
37148 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and forty-eight |
| Binary (base 2) | 1001000100011100 |
| Octal (base 8) | 110434 |
| Hexadecimal (base 16) | 911C |
| Base 3 | 1212221212 |
| As time | 37148 seconds = 10 h 19 min 8 s |
Is 37148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37148 ÷ 2 = 18574) | 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 | Yes (37148 ÷ 4 = 9287) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 4) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37148 a prime number?
No. 37148 = × 37 × 251, so it is divisible by 2.
What are the factors of 37148?
1, 2, 4, 37, 74, 148, 251, 502, 1004, 9287, 18574, 37148.
What is 37148 in binary?
1001000100011100 (hexadecimal 911C, octal 110434).
What is the square root of 37148?
About 192.7382, exactly 2√9287.
Is 37148 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37148?
37148 is a happy number: repeatedly adding the squares of its digits reaches 1.