The number 4664
4664 is a palindrome: it reads 4664 backwards too. Its prime factorisation is × 11 × 53. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4664: a palindrome: it reads 4664 backwards too.
- 2
4664 is composite. Its prime factorisation is
- 3
The divisors add up to 9720; without 4664 itself that is 5056, so 4664 is abundant (5056 is more than 4664). Euler's totient φ(4664) = 2080 numbers up to 4664 share no factor with it.
- 4
The digits of 4664 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4664 = 2^{3} \times 11 \times 53 \]4664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9720 |
| Euler totient φ(n) | 2080 |
| Square | 21752896 |
| Cube | 101455506944 |
| Square root | 68.293484 (= 2√1166) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.664 × |
4664 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and sixty-four |
| Binary (base 2) | 1001000111000 |
| Octal (base 8) | 11070 |
| Hexadecimal (base 16) | 1238 |
| Base 3 | 20101202 |
| As time | 4664 seconds = 1 h 17 min 44 s |
Is 4664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4664 ÷ 2 = 2332) | 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 (4664 ÷ 4 = 1166) | 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 2) | 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 (4664 ÷ 8 = 583) | 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 | Yes (4664 ÷ 11 = 424) | 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 4664 a prime number?
No. 4664 = × 11 × 53, so it is divisible by 2.
What are the factors of 4664?
1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664.
What is 4664 in binary?
1001000111000 (hexadecimal 1238, octal 11070).
What is the square root of 4664?
About 68.2935, exactly 2√1166.
Is 4664 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4664?
4664 is a palindrome: it reads 4664 backwards too.