The number 7023
7023 is a composite number with 4 divisors. Its prime factorisation is 3 × 2341. Divisors (4): 1, 3, 2341, 7023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7023: a semiprime: 3 × 2341, the product of two primes.
- 2
7023 is composite. Its prime factorisation is
- 3
The divisors add up to 9368; without 7023 itself that is 2345, so 7023 is deficient (2345 is less than 7023). Euler's totient φ(7023) = 4680 numbers up to 7023 share no factor with it.
- 4
The digits of 7023 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7023 = 3 \times 2341 \]
7023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9368 |
| Euler totient φ(n) | 4680 |
| Square | 49322529 |
| Cube | 346392121167 |
| Square root | 83.803341 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 194 |
| Scientific notation | 7.023 × |
7023 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and twenty-three |
| Binary (base 2) | 1101101101111 |
| Octal (base 8) | 15557 |
| Hexadecimal (base 16) | 1B6F |
| Base 3 | 100122010 |
| As time | 7023 seconds = 1 h 57 min 3 s |
Is 7023 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 | Yes (7023 ÷ 3 = 2341) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7023 a prime number?
No. 7023 = 3 × 2341, so it is divisible by 3.
What are the factors of 7023?
1, 3, 2341, 7023.
What is 7023 in binary?
1101101101111 (hexadecimal 1B6F, octal 15557).
What is the square root of 7023?
About 83.8033.
Is 7023 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 7023?
7023 is a semiprime: 3 × 2341, the product of two primes.