The number 32012
32012 is a composite number with 12 divisors. Its prime factorisation is × 53 × 151. Divisors (12): 1, 2, 4, 53, 106, 151, 212, 302, 604, 8003, 16006, 32012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32012 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 32012 itself that is 25444, so 32012 is deficient (25444 is less than 32012). Euler's totient φ(32012) = 15600 numbers up to 32012 share no factor with it.
- 4
The digits of 32012 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32012 = 2^{2} \times 53 \times 151 \]32012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 15600 |
| Square | 1024768144 |
| Cube | 32804877825728 |
| Square root | 178.918976 (= 2√8003) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2012 × |
32012 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and twelve |
| Binary (base 2) | 111110100001100 |
| Octal (base 8) | 76414 |
| Hexadecimal (base 16) | 7D0C |
| Base 3 | 1121220122 |
| As time | 32012 seconds = 8 h 53 min 32 s |
Is 32012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32012 ÷ 2 = 16006) | 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 (32012 ÷ 4 = 8003) | 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 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 8) | 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 2) | 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 32012 a prime number?
No. 32012 = × 53 × 151, so it is divisible by 2.
What are the factors of 32012?
1, 2, 4, 53, 106, 151, 212, 302, 604, 8003, 16006, 32012.
What is 32012 in binary?
111110100001100 (hexadecimal 7D0C, octal 76414).
What is the square root of 32012?
About 178.9190, exactly 2√8003.
Is 32012 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 32012?
It is a composite number with 12 divisors.