The number 26937
26937 is a composite number with 12 divisors. Its prime factorisation is × 41 × 73. Divisors (12): 1, 3, 9, 41, 73, 123, 219, 369, 657, 2993, 8979, 26937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26937 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26937 is composite. Its prime factorisation is
- 3
The divisors add up to 40404; without 26937 itself that is 13467, so 26937 is deficient (13467 is less than 26937). Euler's totient φ(26937) = 17280 numbers up to 26937 share no factor with it.
- 4
The digits of 26937 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26937 = 3^{2} \times 41 \times 73 \]26937 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 40404 |
| Euler totient φ(n) | 17280 |
| Square | 725601969 |
| Cube | 19545540238953 |
| Square root | 164.124952 (= 3√2993) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6937 × |
26937 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and thirty-seven |
| Binary (base 2) | 110100100111001 |
| Octal (base 8) | 64471 |
| Hexadecimal (base 16) | 6939 |
| Base 3 | 1100221200 |
| As time | 26937 seconds = 7 h 28 min 57 s |
Is 26937 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 (26937 ÷ 3 = 8979) | 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 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 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 | Yes (26937 ÷ 9 = 2993) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26937 a prime number?
No. 26937 = × 41 × 73, so it is divisible by 3.
What are the factors of 26937?
1, 3, 9, 41, 73, 123, 219, 369, 657, 2993, 8979, 26937.
What is 26937 in binary?
110100100111001 (hexadecimal 6939, octal 64471).
What is the square root of 26937?
About 164.1250, exactly 3√2993.
Is 26937 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26937?
It is a composite number with 12 divisors.