The number 5101
5101 is a twin prime (5099 and 5101 are both prime) and the 682nd prime number. Its only divisors are 1 and 5101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5101: a twin prime (5099 and 5101 are both prime); the 682nd prime number.
- 2
5101 is prime, so its only factors are 1 and 5101. It is the 682nd prime; the next prime is 5107 and the one before is 5099.
- 3
The divisors add up to 5102; without 5101 itself that is 1, so 5101 is deficient (1 is less than 5101). Euler's totient φ(5101) = 5100 numbers up to 5101 share no factor with it.
- 4
The digits of 5101 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
5101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5102 |
| Euler totient φ(n) | 5100 |
| Square | 26020201 |
| Cube | 132729045301 |
| Square root | 71.421285 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 85 |
| Scientific notation | 5.101 × |
5101 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and one |
| Binary (base 2) | 1001111101101 |
| Octal (base 8) | 11755 |
| Hexadecimal (base 16) | 13ED |
| Base 3 | 20222221 |
| As time | 5101 seconds = 1 h 25 min 1 s |
Is 5101 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 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 5101 a prime number?
Yes. 5101 is divisible only by 1 and itself.
What are the factors of 5101?
1, 5101.
What is 5101 in binary?
1001111101101 (hexadecimal 13ED, octal 11755).
What is the square root of 5101?
About 71.4213.
Is 5101 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 5101?
5101 is a twin prime (5099 and 5101 are both prime); the 682nd prime number.