The number 26959
26959 is the 2958th prime number. Its only divisors are 1 and 26959.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26959: the 2958th prime number.
- 2
26959 is prime, so its only factors are 1 and 26959. It is the 2958th prime; the next prime is 26981 and the one before is 26953.
- 3
The divisors add up to 26960; without 26959 itself that is 1, so 26959 is deficient (1 is less than 26959). Euler's totient φ(26959) = 26958 numbers up to 26959 share no factor with it.
- 4
The digits of 26959 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
26959 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26960 |
| Euler totient φ(n) | 26958 |
| Square | 726787681 |
| Cube | 19593469092079 |
| Square root | 164.191961 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.6959 × |
26959 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and fifty-nine |
| Binary (base 2) | 110100101001111 |
| Octal (base 8) | 64517 |
| Hexadecimal (base 16) | 694F |
| Base 3 | 1100222111 |
| As time | 26959 seconds = 7 h 29 min 19 s |
Is 26959 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 4) | 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 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 26959 a prime number?
Yes. 26959 is divisible only by 1 and itself.
What are the factors of 26959?
1, 26959.
What is 26959 in binary?
110100101001111 (hexadecimal 694F, octal 64517).
What is the square root of 26959?
About 164.1920.
Is 26959 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 26959?
26959 is the 2958th prime number.