The number 18241
18241 is a composite number with 8 divisors. Its prime factorisation is 17 × 29 × 37. Divisors (8): 1, 17, 29, 37, 493, 629, 1073, 18241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18241: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18241 is composite. Its prime factorisation is
- 3
The divisors add up to 20520; without 18241 itself that is 2279, so 18241 is deficient (2279 is less than 18241). Euler's totient φ(18241) = 16128 numbers up to 18241 share no factor with it.
- 4
The digits of 18241 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18241 = 17 \times 29 \times 37 \]
18241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20520 |
| Euler totient φ(n) | 16128 |
| Square | 332734081 |
| Cube | 6069402371521 |
| Square root | 135.059246 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8241 × |
18241 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and forty-one |
| Binary (base 2) | 100011101000001 |
| Octal (base 8) | 43501 |
| Hexadecimal (base 16) | 4741 |
| Base 3 | 221000121 |
| As time | 18241 seconds = 5 h 4 min 1 s |
Is 18241 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 18241 a prime number?
No. 18241 = 17 × 29 × 37, so it is divisible by 17.
What are the factors of 18241?
1, 17, 29, 37, 493, 629, 1073, 18241.
What is 18241 in binary?
100011101000001 (hexadecimal 4741, octal 43501).
What is the square root of 18241?
About 135.0592.
Is 18241 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18241?
18241 is a happy number: repeatedly adding the squares of its digits reaches 1.