The number 7422
7422 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1237. Divisors (8): 1, 2, 3, 6, 1237, 2474, 3711, 7422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7422 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7422 is composite. Its prime factorisation is
- 3
The divisors add up to 14856; without 7422 itself that is 7434, so 7422 is abundant (7434 is more than 7422). Euler's totient φ(7422) = 2472 numbers up to 7422 share no factor with it.
- 4
The digits of 7422 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 238 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7422 = 2 \times 3 \times 1237 \]
7422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14856 |
| Euler totient φ(n) | 2472 |
| Square | 55086084 |
| Cube | 408848915448 |
| Square root | 86.151030 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 238 |
| Scientific notation | 7.422 × |
7422 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and twenty-two |
| Binary (base 2) | 1110011111110 |
| Octal (base 8) | 16376 |
| Hexadecimal (base 16) | 1CFE |
| Base 3 | 101011220 |
| As time | 7422 seconds = 2 h 3 min 42 s |
Is 7422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7422 ÷ 2 = 3711) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7422 ÷ 3 = 2474) | 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 | Yes (7422 ÷ 6 = 1237) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7422 a prime number?
No. 7422 = 2 × 3 × 1237, so it is divisible by 2.
What are the factors of 7422?
1, 2, 3, 6, 1237, 2474, 3711, 7422.
What is 7422 in binary?
1110011111110 (hexadecimal 1CFE, octal 16376).
What is the square root of 7422?
About 86.1510.
Is 7422 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7422?
It is a composite number with 8 divisors.