The number 5023
5023 is a twin prime (5021 and 5023 are both prime) and the 674th prime number. Its only divisors are 1 and 5023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5023: a twin prime (5021 and 5023 are both prime); the 674th prime number.
- 2
5023 is prime, so its only factors are 1 and 5023. It is the 674th prime; the next prime is 5039 and the one before is 5021.
- 3
The divisors add up to 5024; without 5023 itself that is 1, so 5023 is deficient (1 is less than 5023). Euler's totient φ(5023) = 5022 numbers up to 5023 share no factor with it.
- 4
The digits of 5023 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
5023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5024 |
| Euler totient φ(n) | 5022 |
| Square | 25230529 |
| Cube | 126732947167 |
| Square root | 70.873126 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 5.023 × |
5023 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twenty-three |
| Binary (base 2) | 1001110011111 |
| Octal (base 8) | 11637 |
| Hexadecimal (base 16) | 139F |
| Base 3 | 20220001 |
| As time | 5023 seconds = 1 h 23 min 43 s |
Is 5023 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 | No (remainder 4) | 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 1) | 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 7) | 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 5023 a prime number?
Yes. 5023 is divisible only by 1 and itself.
What are the factors of 5023?
1, 5023.
What is 5023 in binary?
1001110011111 (hexadecimal 139F, octal 11637).
What is the square root of 5023?
About 70.8731.
Is 5023 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5023?
5023 is a twin prime (5021 and 5023 are both prime); the 674th prime number.