The number 1422
1422 is a composite number with 12 divisors. Its prime factorisation is 2 × × 79. Divisors (12): 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1422: a Harshad number: divisible by its digit sum 9.
- 2
1422 is composite. Its prime factorisation is
- 3
The divisors add up to 3120; without 1422 itself that is 1698, so 1422 is abundant (1698 is more than 1422). Euler's totient φ(1422) = 468 numbers up to 1422 share no factor with it.
- 4
The digits of 1422 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1422 = 2 \times 3^{2} \times 79 \]1422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3120 |
| Euler totient φ(n) | 468 |
| Square | 2022084 |
| Cube | 2875403448 |
| Square root | 37.709415 (= 3√158) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.422 × |
1422 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and twenty-two |
| Roman numerals | MCDXXII |
| Binary (base 2) | 10110001110 |
| Octal (base 8) | 2616 |
| Hexadecimal (base 16) | 58E |
| Base 3 | 1221200 |
| As time | 1422 seconds = 23 min 42 s |
Is 1422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1422 ÷ 2 = 711) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1422 ÷ 3 = 474) | 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 (1422 ÷ 6 = 237) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1422 ÷ 9 = 158) | 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 3) | 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 1422 a prime number?
No. 1422 = 2 × × 79, so it is divisible by 2.
What are the factors of 1422?
1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422.
What is 1422 in binary?
10110001110 (hexadecimal 58E, octal 2616).
What is the square root of 1422?
About 37.7094, exactly 3√158.
What is 1422 in Roman numerals?
MCDXXII.
Is 1422 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1422?
1422 is a Harshad number: divisible by its digit sum 9.