The number 26731
26731 is a twin prime (26729 and 26731 are both prime) and the 2935th prime number. Its only divisors are 1 and 26731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26731: a twin prime (26729 and 26731 are both prime); the 2935th prime number.
- 2
26731 is prime, so its only factors are 1 and 26731. It is the 2935th prime; the next prime is 26737 and the one before is 26729.
- 3
The divisors add up to 26732; without 26731 itself that is 1, so 26731 is deficient (1 is less than 26731). Euler's totient φ(26731) = 26730 numbers up to 26731 share no factor with it.
- 4
The digits of 26731 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
26731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26732 |
| Euler totient φ(n) | 26730 |
| Square | 714546361 |
| Cube | 19100538775891 |
| Square root | 163.496177 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6731 × |
26731 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and thirty-one |
| Binary (base 2) | 110100001101011 |
| Octal (base 8) | 64153 |
| Hexadecimal (base 16) | 686B |
| Base 3 | 1100200001 |
| As time | 26731 seconds = 7 h 25 min 31 s |
Is 26731 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26731 a prime number?
Yes. 26731 is divisible only by 1 and itself.
What are the factors of 26731?
1, 26731.
What is 26731 in binary?
110100001101011 (hexadecimal 686B, octal 64153).
What is the square root of 26731?
About 163.4962.
Is 26731 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 26731?
26731 is a twin prime (26729 and 26731 are both prime); the 2935th prime number.