The number 26874
26874 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1493. Divisors (12): 1, 2, 3, 6, 9, 18, 1493, 2986, 4479, 8958, 13437, 26874.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26874 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26874 is composite. Its prime factorisation is
- 3
The divisors add up to 58266; without 26874 itself that is 31392, so 26874 is abundant (31392 is more than 26874). Euler's totient φ(26874) = 8952 numbers up to 26874 share no factor with it.
- 4
The digits of 26874 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
\[ 26874 = 2 \times 3^{2} \times 1493 \]26874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58266 |
| Euler totient φ(n) | 8952 |
| Square | 722211876 |
| Cube | 19408721955624 |
| Square root | 163.932913 (= 3√2986) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6874 × |
26874 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and seventy-four |
| Binary (base 2) | 110100011111010 |
| Octal (base 8) | 64372 |
| Hexadecimal (base 16) | 68FA |
| Base 3 | 1100212100 |
| As time | 26874 seconds = 7 h 27 min 54 s |
Is 26874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26874 ÷ 2 = 13437) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26874 ÷ 3 = 8958) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (26874 ÷ 6 = 4479) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26874 ÷ 9 = 2986) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26874 a prime number?
No. 26874 = 2 × × 1493, so it is divisible by 2.
What are the factors of 26874?
1, 2, 3, 6, 9, 18, 1493, 2986, 4479, 8958, 13437, 26874.
What is 26874 in binary?
110100011111010 (hexadecimal 68FA, octal 64372).
What is the square root of 26874?
About 163.9329, exactly 3√2986.
Is 26874 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26874?
It is a composite number with 12 divisors.