The number 2164
2164 is a composite number with 6 divisors. Its prime factorisation is × 541. Divisors (6): 1, 2, 4, 541, 1082, 2164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2164 is composite. Its prime factorisation is
- 3
The divisors add up to 3794; without 2164 itself that is 1630, so 2164 is deficient (1630 is less than 2164). Euler's totient φ(2164) = 1080 numbers up to 2164 share no factor with it.
- 4
The digits of 2164 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2164 = 2^{2} \times 541 \]2164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3794 |
| Euler totient φ(n) | 1080 |
| Square | 4682896 |
| Cube | 10133786944 |
| Square root | 46.518813 (= 2√541) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.164 × |
2164 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and sixty-four |
| Roman numerals | MMCLXIV |
| Binary (base 2) | 100001110100 |
| Octal (base 8) | 4164 |
| Hexadecimal (base 16) | 874 |
| Base 3 | 2222011 |
| As time | 2164 seconds = 36 min 4 s |
Is 2164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2164 ÷ 2 = 1082) | 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 (2164 ÷ 4 = 541) | 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 1) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2164 a prime number?
No. 2164 = × 541, so it is divisible by 2.
What are the factors of 2164?
1, 2, 4, 541, 1082, 2164.
What is 2164 in binary?
100001110100 (hexadecimal 874, octal 4164).
What is the square root of 2164?
About 46.5188, exactly 2√541.
What is 2164 in Roman numerals?
MMCLXIV.
Is 2164 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2164?
It is a composite number with 6 divisors.