The number 1733
1733 is the 270th prime number. Its only divisors are 1 and 1733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1733: the 270th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1733 is prime, so its only factors are 1 and 1733. It is the 270th prime; the next prime is 1741 and the one before is 1723.
- 3
The divisors add up to 1734; without 1733 itself that is 1, so 1733 is deficient (1 is less than 1733). Euler's totient φ(1733) = 1732 numbers up to 1733 share no factor with it.
- 4
The digits of 1733 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
1733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1734 |
| Euler totient φ(n) | 1732 |
| Square | 3003289 |
| Cube | 5204699837 |
| Square root | 41.629317 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.733 × |
1733 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and thirty-three |
| Roman numerals | MDCCXXXIII |
| Binary (base 2) | 11011000101 |
| Octal (base 8) | 3305 |
| Hexadecimal (base 16) | 6C5 |
| Base 3 | 2101012 |
| As time | 1733 seconds = 28 min 53 s |
Is 1733 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1733 a prime number?
Yes. 1733 is divisible only by 1 and itself.
What are the factors of 1733?
1, 1733.
What is 1733 in binary?
11011000101 (hexadecimal 6C5, octal 3305).
What is the square root of 1733?
About 41.6293.
What is 1733 in Roman numerals?
MDCCXXXIII.
Is 1733 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1733?
1733 is the 270th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.