The number 10422
10422 is a composite number with 16 divisors. Its prime factorisation is 2 × × 193. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 193, 386, 579, 1158, 1737, 3474, 5211, 10422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10422: a Harshad number: divisible by its digit sum 9.
- 2
10422 is composite. Its prime factorisation is
- 3
The divisors add up to 23280; without 10422 itself that is 12858, so 10422 is abundant (12858 is more than 10422). Euler's totient φ(10422) = 3456 numbers up to 10422 share no factor with it.
- 4
The digits of 10422 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10422 = 2 \times 3^{3} \times 193 \]10422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23280 |
| Euler totient φ(n) | 3456 |
| Square | 108618084 |
| Cube | 1132017671448 |
| Square root | 102.088197 (= 3√1158) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0422 × |
10422 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and twenty-two |
| Binary (base 2) | 10100010110110 |
| Octal (base 8) | 24266 |
| Hexadecimal (base 16) | 28B6 |
| Base 3 | 112022000 |
| As time | 10422 seconds = 2 h 53 min 42 s |
Is 10422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10422 ÷ 2 = 5211) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10422 ÷ 3 = 3474) | 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 (10422 ÷ 6 = 1737) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (10422 ÷ 9 = 1158) | 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 5) | 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 10422 a prime number?
No. 10422 = 2 × × 193, so it is divisible by 2.
What are the factors of 10422?
1, 2, 3, 6, 9, 18, 27, 54, 193, 386, 579, 1158, 1737, 3474, 5211, 10422.
What is 10422 in binary?
10100010110110 (hexadecimal 28B6, octal 24266).
What is the square root of 10422?
About 102.0882, exactly 3√1158.
Is 10422 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10422?
10422 is a Harshad number: divisible by its digit sum 9.