The number 26967
26967 is a composite number with 8 divisors. Its prime factorisation is 3 × 89 × 101. Divisors (8): 1, 3, 89, 101, 267, 303, 8989, 26967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26967 is composite. Its prime factorisation is
- 3
The divisors add up to 36720; without 26967 itself that is 9753, so 26967 is deficient (9753 is less than 26967). Euler's totient φ(26967) = 17600 numbers up to 26967 share no factor with it.
- 4
The digits of 26967 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26967 = 3 \times 89 \times 101 \]
26967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36720 |
| Euler totient φ(n) | 17600 |
| Square | 727219089 |
| Cube | 19610917173063 |
| Square root | 164.216321 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6967 × |
26967 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and sixty-seven |
| Binary (base 2) | 110100101010111 |
| Octal (base 8) | 64527 |
| Hexadecimal (base 16) | 6957 |
| Base 3 | 1100222210 |
| As time | 26967 seconds = 7 h 29 min 27 s |
Is 26967 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 | Yes (26967 ÷ 3 = 8989) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26967 a prime number?
No. 26967 = 3 × 89 × 101, so it is divisible by 3.
What are the factors of 26967?
1, 3, 89, 101, 267, 303, 8989, 26967.
What is 26967 in binary?
110100101010111 (hexadecimal 6957, octal 64527).
What is the square root of 26967?
About 164.2163.
Is 26967 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 26967?
It is a composite number with 8 divisors.