The number 2242
2242 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 59. Divisors (8): 1, 2, 19, 38, 59, 118, 1121, 2242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2242: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2242 is composite. Its prime factorisation is
- 3
The divisors add up to 3600; without 2242 itself that is 1358, so 2242 is deficient (1358 is less than 2242). Euler's totient φ(2242) = 1044 numbers up to 2242 share no factor with it.
- 4
The digits of 2242 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2242 = 2 \times 19 \times 59 \]
2242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3600 |
| Euler totient φ(n) | 1044 |
| Square | 5026564 |
| Cube | 11269556488 |
| Square root | 47.349762 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.242 × |
2242 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and forty-two |
| Roman numerals | MMCCXLII |
| Binary (base 2) | 100011000010 |
| Octal (base 8) | 4302 |
| Hexadecimal (base 16) | 8C2 |
| Base 3 | 10002001 |
| As time | 2242 seconds = 37 min 22 s |
Is 2242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2242 ÷ 2 = 1121) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2242 a prime number?
No. 2242 = 2 × 19 × 59, so it is divisible by 2.
What are the factors of 2242?
1, 2, 19, 38, 59, 118, 1121, 2242.
What is 2242 in binary?
100011000010 (hexadecimal 8C2, octal 4302).
What is the square root of 2242?
About 47.3498.
What is 2242 in Roman numerals?
MMCCXLII.
Is 2242 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2242?
2242 is a happy number: repeatedly adding the squares of its digits reaches 1.