The number 26964
26964 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 107. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 26964.
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How to work it out
- 1
26964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26964 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 26964 itself that is 51660, so 26964 is abundant (51660 is more than 26964). Euler's totient φ(26964) = 7632 numbers up to 26964 share no factor with it.
- 4
The digits of 26964 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26964 = 2^{2} \times 3^{2} \times 7 \times 107 \]26964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 7632 |
| Square | 727057296 |
| Cube | 19604372929344 |
| Square root | 164.207186 (= 6√749) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6964 × |
26964 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and sixty-four |
| Binary (base 2) | 110100101010100 |
| Octal (base 8) | 64524 |
| Hexadecimal (base 16) | 6954 |
| Base 3 | 1100222200 |
| As time | 26964 seconds = 7 h 29 min 24 s |
Is 26964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26964 ÷ 2 = 13482) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26964 ÷ 3 = 8988) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26964 ÷ 4 = 6741) | 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 (26964 ÷ 6 = 4494) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26964 ÷ 7 = 3852) | 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 | Yes (26964 ÷ 9 = 2996) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26964 ÷ 12 = 2247) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26964 a prime number?
No. 26964 = × × 7 × 107, so it is divisible by 2.
What are the factors of 26964?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 107, 126, 214, 252, 321, 428, 642, 749, 963, 1284, 1498, 1926, 2247, 2996, 3852, 4494, 6741, 8988, 13482, 26964.
What is 26964 in binary?
110100101010100 (hexadecimal 6954, octal 64524).
What is the square root of 26964?
About 164.2072, exactly 6√749.
Is 26964 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26964?
It is a composite number with 36 divisors.