The number 26924
26924 is a composite number with 12 divisors. Its prime factorisation is × 53 × 127. Divisors (12): 1, 2, 4, 53, 106, 127, 212, 254, 508, 6731, 13462, 26924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26924 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 26924 itself that is 21460, so 26924 is deficient (21460 is less than 26924). Euler's totient φ(26924) = 13104 numbers up to 26924 share no factor with it.
- 4
The digits of 26924 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26924 = 2^{2} \times 53 \times 127 \]26924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 13104 |
| Square | 724901776 |
| Cube | 19517255417024 |
| Square root | 164.085344 (= 2√6731) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6924 × |
26924 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and twenty-four |
| Binary (base 2) | 110100100101100 |
| Octal (base 8) | 64454 |
| Hexadecimal (base 16) | 692C |
| Base 3 | 1100221012 |
| As time | 26924 seconds = 7 h 28 min 44 s |
Is 26924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26924 ÷ 2 = 13462) | 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 | Yes (26924 ÷ 4 = 6731) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26924 a prime number?
No. 26924 = × 53 × 127, so it is divisible by 2.
What are the factors of 26924?
1, 2, 4, 53, 106, 127, 212, 254, 508, 6731, 13462, 26924.
What is 26924 in binary?
110100100101100 (hexadecimal 692C, octal 64454).
What is the square root of 26924?
About 164.0853, exactly 2√6731.
Is 26924 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 26924?
It is a composite number with 12 divisors.