The number 164
164 is a composite number with 6 divisors. Its prime factorisation is × 41. Divisors (6): 1, 2, 4, 41, 82, 164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
164 is composite. Its prime factorisation is
- 3
The divisors add up to 294; without 164 itself that is 130, so 164 is deficient (130 is less than 164). Euler's totient φ(164) = 80 numbers up to 164 share no factor with it.
- 4
The digits of 164 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 164 = 2^{2} \times 41 \]164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 294 |
| Euler totient φ(n) | 80 |
| Square | 26896 |
| Cube | 4410944 |
| Square root | 12.806248 (= 2√41) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 111 |
| Scientific notation | 1.64 × |
164 in other forms
| Form | Value |
|---|---|
| In words | one hundred and sixty-four |
| Roman numerals | CLXIV |
| Binary (base 2) | 10100100 |
| Octal (base 8) | 244 |
| Hexadecimal (base 16) | A4 |
| Base 3 | 20002 |
| As time | 164 seconds = 2 min 44 s |
Is 164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (164 ÷ 2 = 82) | 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 (164 ÷ 4 = 41) | 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 3) | 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 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 | No (remainder 10) | 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 164 a prime number?
No. 164 = × 41, so it is divisible by 2.
What are the factors of 164?
1, 2, 4, 41, 82, 164.
What is 164 in binary?
10100100 (hexadecimal A4, octal 244).
What is the square root of 164?
About 12.8062, exactly 2√41.
What is 164 in Roman numerals?
CLXIV.
Is 164 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 164?
It is a composite number with 6 divisors.