The number 27964
27964 is a composite number with 6 divisors. Its prime factorisation is × 6991. Divisors (6): 1, 2, 4, 6991, 13982, 27964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27964 is composite. Its prime factorisation is
- 3
The divisors add up to 48944; without 27964 itself that is 20980, so 27964 is deficient (20980 is less than 27964). Euler's totient φ(27964) = 13980 numbers up to 27964 share no factor with it.
- 4
The digits of 27964 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27964 = 2^{2} \times 6991 \]27964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 48944 |
| Euler totient φ(n) | 13980 |
| Square | 781985296 |
| Cube | 21867436817344 |
| Square root | 167.224400 (= 2√6991) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7964 × |
27964 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and sixty-four |
| Binary (base 2) | 110110100111100 |
| Octal (base 8) | 66474 |
| Hexadecimal (base 16) | 6D3C |
| Base 3 | 1102100201 |
| As time | 27964 seconds = 7 h 46 min 4 s |
Is 27964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27964 ÷ 2 = 13982) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27964 ÷ 4 = 6991) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27964 a prime number?
No. 27964 = × 6991, so it is divisible by 2.
What are the factors of 27964?
1, 2, 4, 6991, 13982, 27964.
What is 27964 in binary?
110110100111100 (hexadecimal 6D3C, octal 66474).
What is the square root of 27964?
About 167.2244, exactly 2√6991.
Is 27964 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27964?
It is a composite number with 6 divisors.