The number 9022
9022 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 347. Divisors (8): 1, 2, 13, 26, 347, 694, 4511, 9022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9022: a Harshad number: divisible by its digit sum 13.
- 2
9022 is composite. Its prime factorisation is
- 3
The divisors add up to 14616; without 9022 itself that is 5594, so 9022 is deficient (5594 is less than 9022). Euler's totient φ(9022) = 4152 numbers up to 9022 share no factor with it.
- 4
The digits of 9022 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9022 = 2 \times 13 \times 347 \]
9022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14616 |
| Euler totient φ(n) | 4152 |
| Square | 81396484 |
| Cube | 734359078648 |
| Square root | 94.984209 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 153 |
| Scientific notation | 9.022 × |
9022 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and twenty-two |
| Binary (base 2) | 10001100111110 |
| Octal (base 8) | 21476 |
| Hexadecimal (base 16) | 233E |
| Base 3 | 110101011 |
| As time | 9022 seconds = 2 h 30 min 22 s |
Is 9022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9022 ÷ 2 = 4511) | 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 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 | No (remainder 4) | 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 9022 a prime number?
No. 9022 = 2 × 13 × 347, so it is divisible by 2.
What are the factors of 9022?
1, 2, 13, 26, 347, 694, 4511, 9022.
What is 9022 in binary?
10001100111110 (hexadecimal 233E, octal 21476).
What is the square root of 9022?
About 94.9842.
Is 9022 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 9022?
9022 is a Harshad number: divisible by its digit sum 13.