The number 26689
26689 is a composite number with 4 divisors. Its prime factorisation is 13 × 2053. Divisors (4): 1, 13, 2053, 26689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26689: a semiprime: 13 × 2053, the product of two primes.
- 2
26689 is composite. Its prime factorisation is
- 3
The divisors add up to 28756; without 26689 itself that is 2067, so 26689 is deficient (2067 is less than 26689). Euler's totient φ(26689) = 24624 numbers up to 26689 share no factor with it.
- 4
The digits of 26689 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 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26689 = 13 \times 2053 \]
26689 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28756 |
| Euler totient φ(n) | 24624 |
| Square | 712302721 |
| Cube | 19010647320769 |
| Square root | 163.367683 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.6689 × |
26689 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and eighty-nine |
| Binary (base 2) | 110100001000001 |
| Octal (base 8) | 64101 |
| Hexadecimal (base 16) | 6841 |
| Base 3 | 1100121111 |
| As time | 26689 seconds = 7 h 24 min 49 s |
Is 26689 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 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 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26689 a prime number?
No. 26689 = 13 × 2053, so it is divisible by 13.
What are the factors of 26689?
1, 13, 2053, 26689.
What is 26689 in binary?
110100001000001 (hexadecimal 6841, octal 64101).
What is the square root of 26689?
About 163.3677.
Is 26689 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 26689?
26689 is a semiprime: 13 × 2053, the product of two primes.