The number 37241
37241 is a composite number with 4 divisors. Its prime factorisation is 167 × 223. Divisors (4): 1, 167, 223, 37241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37241: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 223, the product of two primes.
- 2
37241 is composite. Its prime factorisation is
- 3
The divisors add up to 37632; without 37241 itself that is 391, so 37241 is deficient (391 is less than 37241). Euler's totient φ(37241) = 36852 numbers up to 37241 share no factor with it.
- 4
The digits of 37241 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37241 = 167 \times 223 \]
37241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37632 |
| Euler totient φ(n) | 36852 |
| Square | 1386892081 |
| Cube | 51649247988521 |
| Square root | 192.979273 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.7241 × |
37241 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and forty-one |
| Binary (base 2) | 1001000101111001 |
| Octal (base 8) | 110571 |
| Hexadecimal (base 16) | 9179 |
| Base 3 | 1220002022 |
| As time | 37241 seconds = 10 h 20 min 41 s |
Is 37241 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37241 a prime number?
No. 37241 = 167 × 223, so it is divisible by 167.
What are the factors of 37241?
1, 167, 223, 37241.
What is 37241 in binary?
1001000101111001 (hexadecimal 9179, octal 110571).
What is the square root of 37241?
About 192.9793.
Is 37241 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37241?
37241 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 223, the product of two primes.