The number 37441
37441 is the 3963rd prime number. Its only divisors are 1 and 37441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37441: the 3963rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37441 is prime, so its only factors are 1 and 37441. It is the 3963rd prime; the next prime is 37447 and the one before is 37423.
- 3
The divisors add up to 37442; without 37441 itself that is 1, so 37441 is deficient (1 is less than 37441). Euler's totient φ(37441) = 37440 numbers up to 37441 share no factor with it.
- 4
The digits of 37441 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
37441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37442 |
| Euler totient φ(n) | 37440 |
| Square | 1401828481 |
| Cube | 52485860157121 |
| Square root | 193.496770 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.7441 × |
37441 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and forty-one |
| Binary (base 2) | 1001001001000001 |
| Octal (base 8) | 111101 |
| Hexadecimal (base 16) | 9241 |
| Base 3 | 1220100201 |
| As time | 37441 seconds = 10 h 24 min 1 s |
Is 37441 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 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37441 a prime number?
Yes. 37441 is divisible only by 1 and itself.
What are the factors of 37441?
1, 37441.
What is 37441 in binary?
1001001001000001 (hexadecimal 9241, octal 111101).
What is the square root of 37441?
About 193.4968.
Is 37441 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37441?
37441 is the 3963rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.