The number 26489
26489 is the 2909th prime number. Its only divisors are 1 and 26489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26489: the 2909th prime number.
- 2
26489 is prime, so its only factors are 1 and 26489. It is the 2909th prime; the next prime is 26497 and the one before is 26479.
- 3
The divisors add up to 26490; without 26489 itself that is 1, so 26489 is deficient (1 is less than 26489). Euler's totient φ(26489) = 26488 numbers up to 26489 share no factor with it.
- 4
The digits of 26489 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 126 steps to reach 1.
26489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26490 |
| Euler totient φ(n) | 26488 |
| Square | 701667121 |
| Cube | 18586460368169 |
| Square root | 162.754416 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6489 × |
26489 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and eighty-nine |
| Binary (base 2) | 110011101111001 |
| Octal (base 8) | 63571 |
| Hexadecimal (base 16) | 6779 |
| Base 3 | 1100100002 |
| As time | 26489 seconds = 7 h 21 min 29 s |
Is 26489 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 4) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26489 a prime number?
Yes. 26489 is divisible only by 1 and itself.
What are the factors of 26489?
1, 26489.
What is 26489 in binary?
110011101111001 (hexadecimal 6779, octal 63571).
What is the square root of 26489?
About 162.7544.
Is 26489 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 26489?
26489 is the 2909th prime number.