The number 26767
26767 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 71. Divisors (8): 1, 13, 29, 71, 377, 923, 2059, 26767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26767 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 26767 itself that is 3473, so 26767 is deficient (3473 is less than 26767). Euler's totient φ(26767) = 23520 numbers up to 26767 share no factor with it.
- 4
The digits of 26767 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26767 = 13 \times 29 \times 71 \]
26767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 23520 |
| Square | 716472289 |
| Cube | 19177813759663 |
| Square root | 163.606235 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.6767 × |
26767 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and sixty-seven |
| Binary (base 2) | 110100010001111 |
| Octal (base 8) | 64217 |
| Hexadecimal (base 16) | 688F |
| Base 3 | 1100201101 |
| As time | 26767 seconds = 7 h 26 min 7 s |
Is 26767 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 2) | 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 6) | 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 1) | 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 4) | 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 26767 a prime number?
No. 26767 = 13 × 29 × 71, so it is divisible by 13.
What are the factors of 26767?
1, 13, 29, 71, 377, 923, 2059, 26767.
What is 26767 in binary?
110100010001111 (hexadecimal 688F, octal 64217).
What is the square root of 26767?
About 163.6062.
Is 26767 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 26767?
It is a composite number with 8 divisors.