The number 8013
8013 is a composite number with 4 divisors. Its prime factorisation is 3 × 2671. Divisors (4): 1, 3, 2671, 8013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8013: a semiprime: 3 × 2671, the product of two primes.
- 2
8013 is composite. Its prime factorisation is
- 3
The divisors add up to 10688; without 8013 itself that is 2675, so 8013 is deficient (2675 is less than 8013). Euler's totient φ(8013) = 5340 numbers up to 8013 share no factor with it.
- 4
The digits of 8013 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8013 = 3 \times 2671 \]
8013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10688 |
| Euler totient φ(n) | 5340 |
| Square | 64208169 |
| Cube | 514500058197 |
| Square root | 89.515362 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 8.013 × |
8013 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and thirteen |
| Binary (base 2) | 1111101001101 |
| Octal (base 8) | 17515 |
| Hexadecimal (base 16) | 1F4D |
| Base 3 | 101222210 |
| As time | 8013 seconds = 2 h 13 min 33 s |
Is 8013 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 (8013 ÷ 3 = 2671) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | 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 8013 a prime number?
No. 8013 = 3 × 2671, so it is divisible by 3.
What are the factors of 8013?
1, 3, 2671, 8013.
What is 8013 in binary?
1111101001101 (hexadecimal 1F4D, octal 17515).
What is the square root of 8013?
About 89.5154.
Is 8013 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 8013?
8013 is a semiprime: 3 × 2671, the product of two primes.