The number 7664
7664 is a composite number with 10 divisors. Its prime factorisation is × 479. Divisors (10): 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7664 is composite. Its prime factorisation is
- 3
The divisors add up to 14880; without 7664 itself that is 7216, so 7664 is deficient (7216 is less than 7664). Euler's totient φ(7664) = 3824 numbers up to 7664 share no factor with it.
- 4
The digits of 7664 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7664 = 2^{4} \times 479 \]7664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 14880 |
| Euler totient φ(n) | 3824 |
| Square | 58736896 |
| Cube | 450159570944 |
| Square root | 87.544275 (= 4√479) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.664 × |
7664 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and sixty-four |
| Binary (base 2) | 1110111110000 |
| Octal (base 8) | 16760 |
| Hexadecimal (base 16) | 1DF0 |
| Base 3 | 101111212 |
| As time | 7664 seconds = 2 h 7 min 44 s |
Is 7664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7664 ÷ 2 = 3832) | 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 (7664 ÷ 4 = 1916) | 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 (7664 ÷ 8 = 958) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 7664 a prime number?
No. 7664 = × 479, so it is divisible by 2.
What are the factors of 7664?
1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664.
What is 7664 in binary?
1110111110000 (hexadecimal 1DF0, octal 16760).
What is the square root of 7664?
About 87.5443, exactly 4√479.
Is 7664 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7664?
It is a composite number with 10 divisors.