The number 4723
4723 is a twin prime (4721 and 4723 are both prime) and the 637th prime number. Its only divisors are 1 and 4723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4723: a twin prime (4721 and 4723 are both prime); the 637th prime number.
- 2
4723 is prime, so its only factors are 1 and 4723. It is the 637th prime; the next prime is 4729 and the one before is 4721.
- 3
The divisors add up to 4724; without 4723 itself that is 1, so 4723 is deficient (1 is less than 4723). Euler's totient φ(4723) = 4722 numbers up to 4723 share no factor with it.
- 4
The digits of 4723 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
4723 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4724 |
| Euler totient φ(n) | 4722 |
| Square | 22306729 |
| Cube | 105354681067 |
| Square root | 68.724086 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.723 × |
4723 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and twenty-three |
| Binary (base 2) | 1001001110011 |
| Octal (base 8) | 11163 |
| Hexadecimal (base 16) | 1273 |
| Base 3 | 20110221 |
| As time | 4723 seconds = 1 h 18 min 43 s |
Is 4723 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 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 3) | 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 4) | 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 4723 a prime number?
Yes. 4723 is divisible only by 1 and itself.
What are the factors of 4723?
1, 4723.
What is 4723 in binary?
1001001110011 (hexadecimal 1273, octal 11163).
What is the square root of 4723?
About 68.7241.
Is 4723 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4723?
4723 is a twin prime (4721 and 4723 are both prime); the 637th prime number.