The number 2422
2422 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 173. Divisors (8): 1, 2, 7, 14, 173, 346, 1211, 2422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2422: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2422 is composite. Its prime factorisation is
- 3
The divisors add up to 4176; without 2422 itself that is 1754, so 2422 is deficient (1754 is less than 2422). Euler's totient φ(2422) = 1032 numbers up to 2422 share no factor with it.
- 4
The digits of 2422 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2422 = 2 \times 7 \times 173 \]
2422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4176 |
| Euler totient φ(n) | 1032 |
| Square | 5866084 |
| Cube | 14207655448 |
| Square root | 49.213819 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.422 × |
2422 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and twenty-two |
| Roman numerals | MMCDXXII |
| Binary (base 2) | 100101110110 |
| Octal (base 8) | 4566 |
| Hexadecimal (base 16) | 976 |
| Base 3 | 10022201 |
| As time | 2422 seconds = 40 min 22 s |
Is 2422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2422 ÷ 2 = 1211) | 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 | Yes (2422 ÷ 7 = 346) | 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 6) | 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 2) | 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 2422 a prime number?
No. 2422 = 2 × 7 × 173, so it is divisible by 2.
What are the factors of 2422?
1, 2, 7, 14, 173, 346, 1211, 2422.
What is 2422 in binary?
100101110110 (hexadecimal 976, octal 4566).
What is the square root of 2422?
About 49.2138.
What is 2422 in Roman numerals?
MMCDXXII.
Is 2422 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2422?
2422 is a happy number: repeatedly adding the squares of its digits reaches 1.