The number 2241
2241 is a composite number with 8 divisors. Its prime factorisation is × 83. Divisors (8): 1, 3, 9, 27, 83, 249, 747, 2241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2241: a Harshad number: divisible by its digit sum 9.
- 2
2241 is composite. Its prime factorisation is
- 3
The divisors add up to 3360; without 2241 itself that is 1119, so 2241 is deficient (1119 is less than 2241). Euler's totient φ(2241) = 1476 numbers up to 2241 share no factor with it.
- 4
The digits of 2241 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2241 = 3^{3} \times 83 \]2241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3360 |
| Euler totient φ(n) | 1476 |
| Square | 5022081 |
| Cube | 11254483521 |
| Square root | 47.339202 (= 3√249) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.241 × |
2241 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and forty-one |
| Roman numerals | MMCCXLI |
| Binary (base 2) | 100011000001 |
| Octal (base 8) | 4301 |
| Hexadecimal (base 16) | 8C1 |
| Base 3 | 10002000 |
| As time | 2241 seconds = 37 min 21 s |
Is 2241 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 | Yes (2241 ÷ 3 = 747) | 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 3) | 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 | Yes (2241 ÷ 9 = 249) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2241 a prime number?
No. 2241 = × 83, so it is divisible by 3.
What are the factors of 2241?
1, 3, 9, 27, 83, 249, 747, 2241.
What is 2241 in binary?
100011000001 (hexadecimal 8C1, octal 4301).
What is the square root of 2241?
About 47.3392, exactly 3√249.
What is 2241 in Roman numerals?
MMCCXLI.
Is 2241 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2241?
2241 is a Harshad number: divisible by its digit sum 9.