The number 54013
54013 is a twin prime (54011 and 54013 are both prime) and the 5503rd prime number. Its only divisors are 1 and 54013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54013: a twin prime (54011 and 54013 are both prime); the 5503rd prime number.
- 2
54013 is prime, so its only factors are 1 and 54013. It is the 5503rd prime; the next prime is 54037 and the one before is 54011.
- 3
The divisors add up to 54014; without 54013 itself that is 1, so 54013 is deficient (1 is less than 54013). Euler's totient φ(54013) = 54012 numbers up to 54013 share no factor with it.
- 4
The digits of 54013 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 176 steps to reach 1.
54013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 54014 |
| Euler totient φ(n) | 54012 |
| Square | 2917404169 |
| Cube | 157577751380197 |
| Square root | 232.406971 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 176 |
| Scientific notation | 5.4013 × |
54013 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and thirteen |
| Binary (base 2) | 1101001011111101 |
| Octal (base 8) | 151375 |
| Hexadecimal (base 16) | D2FD |
| Base 3 | 2202002111 |
| As time | 54013 seconds = 15 h 0 min 13 s |
Is 54013 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 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 5) | 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 3) | 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 54013 a prime number?
Yes. 54013 is divisible only by 1 and itself.
What are the factors of 54013?
1, 54013.
What is 54013 in binary?
1101001011111101 (hexadecimal D2FD, octal 151375).
What is the square root of 54013?
About 232.4070.
Is 54013 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 54013?
54013 is a twin prime (54011 and 54013 are both prime); the 5503rd prime number.