The number 32013
32013 is a composite number with 6 divisors. Its prime factorisation is × 3557. Divisors (6): 1, 3, 9, 3557, 10671, 32013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32013: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
32013 is composite. Its prime factorisation is
- 3
The divisors add up to 46254; without 32013 itself that is 14241, so 32013 is deficient (14241 is less than 32013). Euler's totient φ(32013) = 21336 numbers up to 32013 share no factor with it.
- 4
The digits of 32013 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32013 = 3^{2} \times 3557 \]32013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 46254 |
| Euler totient φ(n) | 21336 |
| Square | 1024832169 |
| Cube | 32807952226197 |
| Square root | 178.921771 (= 3√3557) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2013 × |
32013 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and thirteen |
| Binary (base 2) | 111110100001101 |
| Octal (base 8) | 76415 |
| Hexadecimal (base 16) | 7D0D |
| Base 3 | 1121220200 |
| As time | 32013 seconds = 8 h 53 min 33 s |
Is 32013 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32013 ÷ 3 = 10671) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32013 ÷ 9 = 3557) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32013 a prime number?
No. 32013 = × 3557, so it is divisible by 3.
What are the factors of 32013?
1, 3, 9, 3557, 10671, 32013.
What is 32013 in binary?
111110100001101 (hexadecimal 7D0D, octal 76415).
What is the square root of 32013?
About 178.9218, exactly 3√3557.
Is 32013 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 32013?
32013 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.