The number 32006
32006 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1231. Divisors (8): 1, 2, 13, 26, 1231, 2462, 16003, 32006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32006 is composite. Its prime factorisation is
- 3
The divisors add up to 51744; without 32006 itself that is 19738, so 32006 is deficient (19738 is less than 32006). Euler's totient φ(32006) = 14760 numbers up to 32006 share no factor with it.
- 4
The digits of 32006 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32006 = 2 \times 13 \times 1231 \]
32006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51744 |
| Euler totient φ(n) | 14760 |
| Square | 1024384036 |
| Cube | 32786435456216 |
| Square root | 178.902208 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2006 × |
32006 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and six |
| Binary (base 2) | 111110100000110 |
| Octal (base 8) | 76406 |
| Hexadecimal (base 16) | 7D06 |
| Base 3 | 1121220102 |
| As time | 32006 seconds = 8 h 53 min 26 s |
Is 32006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32006 ÷ 2 = 16003) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32006 a prime number?
No. 32006 = 2 × 13 × 1231, so it is divisible by 2.
What are the factors of 32006?
1, 2, 13, 26, 1231, 2462, 16003, 32006.
What is 32006 in binary?
111110100000110 (hexadecimal 7D06, octal 76406).
What is the square root of 32006?
About 178.9022.
Is 32006 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 32006?
32006 is a happy number: repeatedly adding the squares of its digits reaches 1.