The number 32002
32002 is a composite number with 4 divisors. Its prime factorisation is 2 × 16001. Divisors (4): 1, 2, 16001, 32002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32002: a semiprime: 2 × 16001, the product of two primes.
- 2
32002 is composite. Its prime factorisation is
- 3
The divisors add up to 48006; without 32002 itself that is 16004, so 32002 is deficient (16004 is less than 32002). Euler's totient φ(32002) = 16000 numbers up to 32002 share no factor with it.
- 4
The digits of 32002 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32002 = 2 \times 16001 \]
32002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48006 |
| Euler totient φ(n) | 16000 |
| Square | 1024128004 |
| Cube | 32774144384008 |
| Square root | 178.891028 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2002 × |
32002 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and two |
| Binary (base 2) | 111110100000010 |
| Octal (base 8) | 76402 |
| Hexadecimal (base 16) | 7D02 |
| Base 3 | 1121220021 |
| As time | 32002 seconds = 8 h 53 min 22 s |
Is 32002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32002 ÷ 2 = 16001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32002 a prime number?
No. 32002 = 2 × 16001, so it is divisible by 2.
What are the factors of 32002?
1, 2, 16001, 32002.
What is 32002 in binary?
111110100000010 (hexadecimal 7D02, octal 76402).
What is the square root of 32002?
About 178.8910.
Is 32002 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 32002?
32002 is a semiprime: 2 × 16001, the product of two primes.