The number 2023
2023 is a composite number with 6 divisors. Its prime factorisation is 7 Ć . Divisors (6): 1, 7, 17, 119, 289, 2023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2023: a Harshad number: divisible by its digit sum 7.
- 2
2023 is composite. Its prime factorisation is
- 3
The divisors add up to 2456; without 2023 itself that is 433, so 2023 is deficient (433 is less than 2023). Euler's totient Ļ(2023) = 1632 numbers up to 2023 share no factor with it.
- 4
The digits of 2023 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2023 = 7 \times 17^{2} \]2023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2456 |
| Euler totient Ļ(n) | 1632 |
| Square | 4092529 |
| Cube | 8279186167 |
| Square root | 44.977772 (= 17ā7) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 2.023 Ć |
2023 in other forms
| Form | Value |
|---|---|
| In words | two thousand and twenty-three |
| Roman numerals | MMXXIII |
| Binary (base 2) | 11111100111 |
| Octal (base 8) | 3747 |
| Hexadecimal (base 16) | 7E7 |
| Base 3 | 2202221 |
| As time | 2023 seconds = 33 min 43 s |
Is 2023 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2023 Ć· 7 = 289) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2023 a prime number?
No. 2023 = 7 Ć , so it is divisible by 7.
What are the factors of 2023?
1, 7, 17, 119, 289, 2023.
What is 2023 in binary?
11111100111 (hexadecimal 7E7, octal 3747).
What is the square root of 2023?
About 44.9778, exactly 17ā7.
What is 2023 in Roman numerals?
MMXXIII.
Is 2023 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 2023?
2023 is a Harshad number: divisible by its digit sum 7.