The number 32
32 is a power of 2 (). Its prime factorisation is . Divisors (6): 1, 2, 4, 8, 16, 32.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32: a power of 2 (); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32 is composite. Its prime factorisation is
- 3
The divisors add up to 63; without 32 itself that is 31, so 32 is deficient (31 is less than 32). Euler's totient φ(32) = 16 numbers up to 32 share no factor with it.
- 4
The digits of 32 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 5 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32 = 2^{5} \]32 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 63 |
| Euler totient φ(n) | 16 |
| Square | 1024 |
| Cube | 32768 |
| Square root | 5.656854 (= 4√2) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 5 |
| Scientific notation | 3.2 × |
| Perfect power |
32 in other forms
| Form | Value |
|---|---|
| In words | thirty-two |
| Roman numerals | XXXII |
| Binary (base 2) | 100000 |
| Octal (base 8) | 40 |
| Hexadecimal (base 16) | 20 |
| Base 3 | 1012 |
| As time | 32 seconds |
Is 32 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32 ÷ 2 = 16) | 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 (32 ÷ 4 = 8) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (32 ÷ 8 = 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 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 32 a prime number?
No. 32 = , so it is divisible by 2.
What are the factors of 32?
1, 2, 4, 8, 16, 32.
What is 32 in binary?
100000 (hexadecimal 20, octal 40).
What is the square root of 32?
About 5.6569, exactly 4√2.
What is 32 in Roman numerals?
XXXII.
Is 32 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 32?
32 is a power of 2 (); a happy number: repeatedly adding the squares of its digits reaches 1.