The number 10022
10022 is a composite number with 4 divisors. Its prime factorisation is 2 × 5011. Divisors (4): 1, 2, 5011, 10022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10022: a semiprime: 2 × 5011, the product of two primes.
- 2
10022 is composite. Its prime factorisation is
- 3
The divisors add up to 15036; without 10022 itself that is 5014, so 10022 is deficient (5014 is less than 10022). Euler's totient φ(10022) = 5010 numbers up to 10022 share no factor with it.
- 4
The digits of 10022 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10022 = 2 \times 5011 \]
10022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15036 |
| Euler totient φ(n) | 5010 |
| Square | 100440484 |
| Cube | 1006614530648 |
| Square root | 100.109940 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0022 × |
10022 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and twenty-two |
| Binary (base 2) | 10011100100110 |
| Octal (base 8) | 23446 |
| Hexadecimal (base 16) | 2726 |
| Base 3 | 111202012 |
| As time | 10022 seconds = 2 h 47 min 2 s |
Is 10022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10022 ÷ 2 = 5011) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10022 a prime number?
No. 10022 = 2 × 5011, so it is divisible by 2.
What are the factors of 10022?
1, 2, 5011, 10022.
What is 10022 in binary?
10011100100110 (hexadecimal 2726, octal 23446).
What is the square root of 10022?
About 100.1099.
Is 10022 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 10022?
10022 is a semiprime: 2 × 5011, the product of two primes.