The number 1723
1723 is a twin prime (1721 and 1723 are both prime) and the 269th prime number. Its only divisors are 1 and 1723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1723: a twin prime (1721 and 1723 are both prime); the 269th prime number.
- 2
1723 is prime, so its only factors are 1 and 1723. It is the 269th prime; the next prime is 1733 and the one before is 1721.
- 3
The divisors add up to 1724; without 1723 itself that is 1, so 1723 is deficient (1 is less than 1723). Euler's totient φ(1723) = 1722 numbers up to 1723 share no factor with it.
- 4
The digits of 1723 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
1723 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1724 |
| Euler totient φ(n) | 1722 |
| Square | 2968729 |
| Cube | 5115120067 |
| Square root | 41.509035 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.723 × |
1723 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and twenty-three |
| Roman numerals | MDCCXXIII |
| Binary (base 2) | 11010111011 |
| Octal (base 8) | 3273 |
| Hexadecimal (base 16) | 6BB |
| Base 3 | 2100211 |
| As time | 1723 seconds = 28 min 43 s |
Is 1723 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 1) | 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 4) | 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 1723 a prime number?
Yes. 1723 is divisible only by 1 and itself.
What are the factors of 1723?
1, 1723.
What is 1723 in binary?
11010111011 (hexadecimal 6BB, octal 3273).
What is the square root of 1723?
About 41.5090.
What is 1723 in Roman numerals?
MDCCXXIII.
Is 1723 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1723?
1723 is a twin prime (1721 and 1723 are both prime); the 269th prime number.