The number 53993
53993 is the 5500th prime number. Its only divisors are 1 and 53993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53993: the 5500th prime number.
- 2
53993 is prime, so its only factors are 1 and 53993. It is the 5500th prime; the next prime is 54001 and the one before is 53987.
- 3
The divisors add up to 53994; without 53993 itself that is 1, so 53993 is deficient (1 is less than 53993). Euler's totient φ(53993) = 53992 numbers up to 53993 share no factor with it.
- 4
The digits of 53993 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
53993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53994 |
| Euler totient φ(n) | 53992 |
| Square | 2915244049 |
| Cube | 157402771937657 |
| Square root | 232.363939 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3993 × |
53993 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and ninety-three |
| Binary (base 2) | 1101001011101001 |
| Octal (base 8) | 151351 |
| Hexadecimal (base 16) | D2E9 |
| Base 3 | 2202001202 |
| As time | 53993 seconds = 14 h 59 min 53 s |
Is 53993 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53993 a prime number?
Yes. 53993 is divisible only by 1 and itself.
What are the factors of 53993?
1, 53993.
What is 53993 in binary?
1101001011101001 (hexadecimal D2E9, octal 151351).
What is the square root of 53993?
About 232.3639.
Is 53993 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 53993?
53993 is the 5500th prime number.