The number 7964
7964 is a composite number with 12 divisors. Its prime factorisation is × 11 × 181. Divisors (12): 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7964 is composite. Its prime factorisation is
- 3
The divisors add up to 15288; without 7964 itself that is 7324, so 7964 is deficient (7324 is less than 7964). Euler's totient φ(7964) = 3600 numbers up to 7964 share no factor with it.
- 4
The digits of 7964 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7964 = 2^{2} \times 11 \times 181 \]7964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15288 |
| Euler totient φ(n) | 3600 |
| Square | 63425296 |
| Cube | 505119057344 |
| Square root | 89.241246 (= 2√1991) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.964 × |
7964 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and sixty-four |
| Binary (base 2) | 1111100011100 |
| Octal (base 8) | 17434 |
| Hexadecimal (base 16) | 1F1C |
| Base 3 | 101220222 |
| As time | 7964 seconds = 2 h 12 min 44 s |
Is 7964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7964 ÷ 2 = 3982) | 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 (7964 ÷ 4 = 1991) | 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 5) | 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 8) | 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 | Yes (7964 ÷ 11 = 724) | 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 7964 a prime number?
No. 7964 = × 11 × 181, so it is divisible by 2.
What are the factors of 7964?
1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964.
What is 7964 in binary?
1111100011100 (hexadecimal 1F1C, octal 17434).
What is the square root of 7964?
About 89.2412, exactly 2√1991.
Is 7964 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7964?
It is a composite number with 12 divisors.