The number 4164
4164 is a composite number with 12 divisors. Its prime factorisation is × 3 × 347. Divisors (12): 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4164 is composite. Its prime factorisation is
- 3
The divisors add up to 9744; without 4164 itself that is 5580, so 4164 is abundant (5580 is more than 4164). Euler's totient φ(4164) = 1384 numbers up to 4164 share no factor with it.
- 4
The digits of 4164 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4164 = 2^{2} \times 3 \times 347 \]4164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9744 |
| Euler totient φ(n) | 1384 |
| Square | 17338896 |
| Cube | 72199162944 |
| Square root | 64.529063 (= 2√1041) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.164 × |
4164 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and sixty-four |
| Binary (base 2) | 1000001000100 |
| Octal (base 8) | 10104 |
| Hexadecimal (base 16) | 1044 |
| Base 3 | 12201020 |
| As time | 4164 seconds = 1 h 9 min 24 s |
Is 4164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4164 ÷ 2 = 2082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4164 ÷ 3 = 1388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4164 ÷ 4 = 1041) | 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 (4164 ÷ 6 = 694) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4164 ÷ 12 = 347) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4164 a prime number?
No. 4164 = × 3 × 347, so it is divisible by 2.
What are the factors of 4164?
1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164.
What is 4164 in binary?
1000001000100 (hexadecimal 1044, octal 10104).
What is the square root of 4164?
About 64.5291, exactly 2√1041.
Is 4164 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4164?
It is a composite number with 12 divisors.