The number 32014
32014 is a composite number with 4 divisors. Its prime factorisation is 2 × 16007. Divisors (4): 1, 2, 16007, 32014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32014: a semiprime: 2 × 16007, the product of two primes.
- 2
32014 is composite. Its prime factorisation is
- 3
The divisors add up to 48024; without 32014 itself that is 16010, so 32014 is deficient (16010 is less than 32014). Euler's totient φ(32014) = 16006 numbers up to 32014 share no factor with it.
- 4
The digits of 32014 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32014 = 2 \times 16007 \]
32014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48024 |
| Euler totient φ(n) | 16006 |
| Square | 1024896196 |
| Cube | 32811026818744 |
| Square root | 178.924565 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.2014 × |
32014 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and fourteen |
| Binary (base 2) | 111110100001110 |
| Octal (base 8) | 76416 |
| Hexadecimal (base 16) | 7D0E |
| Base 3 | 1121220201 |
| As time | 32014 seconds = 8 h 53 min 34 s |
Is 32014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32014 ÷ 2 = 16007) | 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 4) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 32014 a prime number?
No. 32014 = 2 × 16007, so it is divisible by 2.
What are the factors of 32014?
1, 2, 16007, 32014.
What is 32014 in binary?
111110100001110 (hexadecimal 7D0E, octal 76416).
What is the square root of 32014?
About 178.9246.
Is 32014 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 32014?
32014 is a semiprime: 2 × 16007, the product of two primes.