The number 26984
26984 is a composite number with 8 divisors. Its prime factorisation is × 3373. Divisors (8): 1, 2, 4, 8, 3373, 6746, 13492, 26984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26984 is composite. Its prime factorisation is
- 3
The divisors add up to 50610; without 26984 itself that is 23626, so 26984 is deficient (23626 is less than 26984). Euler's totient φ(26984) = 13488 numbers up to 26984 share no factor with it.
- 4
The digits of 26984 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26984 = 2^{3} \times 3373 \]26984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50610 |
| Euler totient φ(n) | 13488 |
| Square | 728136256 |
| Cube | 19648028731904 |
| Square root | 164.268074 (= 2√6746) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6984 × |
26984 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and eighty-four |
| Binary (base 2) | 110100101101000 |
| Octal (base 8) | 64550 |
| Hexadecimal (base 16) | 6968 |
| Base 3 | 1101000102 |
| As time | 26984 seconds = 7 h 29 min 44 s |
Is 26984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26984 ÷ 2 = 13492) | 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 (26984 ÷ 4 = 6746) | 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 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 | Yes (26984 ÷ 8 = 3373) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26984 a prime number?
No. 26984 = × 3373, so it is divisible by 2.
What are the factors of 26984?
1, 2, 4, 8, 3373, 6746, 13492, 26984.
What is 26984 in binary?
110100101101000 (hexadecimal 6968, octal 64550).
What is the square root of 26984?
About 164.2681, exactly 2√6746.
Is 26984 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 26984?
It is a composite number with 8 divisors.