The number 162
162 is a composite number with 10 divisors. Its prime factorisation is 2 × . Divisors (10): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 162: a Harshad number: divisible by its digit sum 9.
- 2
162 is composite. Its prime factorisation is
- 3
The divisors add up to 363; without 162 itself that is 201, so 162 is abundant (201 is more than 162). Euler's totient φ(162) = 54 numbers up to 162 share no factor with it.
- 4
The digits of 162 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 162 = 2 \times 3^{4} \]162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 363 |
| Euler totient φ(n) | 54 |
| Square | 26244 |
| Cube | 4251528 |
| Square root | 12.727922 (= 9√2) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.62 × |
162 in other forms
| Form | Value |
|---|---|
| In words | one hundred and sixty-two |
| Roman numerals | CLXII |
| Binary (base 2) | 10100010 |
| Octal (base 8) | 242 |
| Hexadecimal (base 16) | A2 |
| Base 3 | 20000 |
| As time | 162 seconds = 2 min 42 s |
Is 162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (162 ÷ 2 = 81) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (162 ÷ 3 = 54) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (162 ÷ 6 = 27) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (162 ÷ 9 = 18) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 162 a prime number?
No. 162 = 2 × , so it is divisible by 2.
What are the factors of 162?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162.
What is 162 in binary?
10100010 (hexadecimal A2, octal 242).
What is the square root of 162?
About 12.7279, exactly 9√2.
What is 162 in Roman numerals?
CLXII.
Is 162 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 162?
162 is a Harshad number: divisible by its digit sum 9.