The number 26267
26267 is the 2888th prime number. Its only divisors are 1 and 26267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26267: the 2888th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26267 is prime, so its only factors are 1 and 26267. It is the 2888th prime; the next prime is 26293 and the one before is 26263.
- 3
The divisors add up to 26268; without 26267 itself that is 1, so 26267 is deficient (1 is less than 26267). Euler's totient φ(26267) = 26266 numbers up to 26267 share no factor with it.
- 4
The digits of 26267 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
26267 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26268 |
| Euler totient φ(n) | 26266 |
| Square | 689955289 |
| Cube | 18123055576163 |
| Square root | 162.070972 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6267 × |
26267 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand two hundred and sixty-seven |
| Binary (base 2) | 110011010011011 |
| Octal (base 8) | 63233 |
| Hexadecimal (base 16) | 669B |
| Base 3 | 1100000212 |
| As time | 26267 seconds = 7 h 17 min 47 s |
Is 26267 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26267 a prime number?
Yes. 26267 is divisible only by 1 and itself.
What are the factors of 26267?
1, 26267.
What is 26267 in binary?
110011010011011 (hexadecimal 669B, octal 63233).
What is the square root of 26267?
About 162.0710.
Is 26267 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 26267?
26267 is the 2888th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.