The number 26993
26993 is the 2961st prime number. Its only divisors are 1 and 26993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26993: the 2961st prime number.
- 2
26993 is prime, so its only factors are 1 and 26993. It is the 2961st prime; the next prime is 27011 and the one before is 26987.
- 3
The divisors add up to 26994; without 26993 itself that is 1, so 26993 is deficient (1 is less than 26993). Euler's totient φ(26993) = 26992 numbers up to 26993 share no factor with it.
- 4
The digits of 26993 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 46 steps to reach 1.
26993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26994 |
| Euler totient φ(n) | 26992 |
| Square | 728622049 |
| Cube | 19667694968657 |
| Square root | 164.295466 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6993 × |
26993 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and ninety-three |
| Binary (base 2) | 110100101110001 |
| Octal (base 8) | 64561 |
| Hexadecimal (base 16) | 6971 |
| Base 3 | 1101000202 |
| As time | 26993 seconds = 7 h 29 min 53 s |
Is 26993 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 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 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 10) | 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 26993 a prime number?
Yes. 26993 is divisible only by 1 and itself.
What are the factors of 26993?
1, 26993.
What is 26993 in binary?
110100101110001 (hexadecimal 6971, octal 64561).
What is the square root of 26993?
About 164.2955.
Is 26993 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 26993?
26993 is the 2961st prime number.