The number 53773
53773 is the 5478th prime number. Its only divisors are 1 and 53773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53773: the 5478th prime number.
- 2
53773 is prime, so its only factors are 1 and 53773. It is the 5478th prime; the next prime is 53777 and the one before is 53759.
- 3
The divisors add up to 53774; without 53773 itself that is 1, so 53773 is deficient (1 is less than 53773). Euler's totient φ(53773) = 53772 numbers up to 53773 share no factor with it.
- 4
The digits of 53773 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
53773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53774 |
| Euler totient φ(n) | 53772 |
| Square | 2891535529 |
| Cube | 155486540000917 |
| Square root | 231.890060 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3773 × |
53773 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and seventy-three |
| Binary (base 2) | 1101001000001101 |
| Octal (base 8) | 151015 |
| Hexadecimal (base 16) | D20D |
| Base 3 | 2201202121 |
| As time | 53773 seconds = 14 h 56 min 13 s |
Is 53773 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53773 a prime number?
Yes. 53773 is divisible only by 1 and itself.
What are the factors of 53773?
1, 53773.
What is 53773 in binary?
1101001000001101 (hexadecimal D20D, octal 151015).
What is the square root of 53773?
About 231.8901.
Is 53773 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53773?
53773 is the 5478th prime number.