The number 67013
67013 is a composite number with 4 divisors. Its prime factorisation is 19 × 3527. Divisors (4): 1, 19, 3527, 67013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67013: a semiprime: 19 × 3527, the product of two primes.
- 2
67013 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 67013 itself that is 3547, so 67013 is deficient (3547 is less than 67013). Euler's totient φ(67013) = 63468 numbers up to 67013 share no factor with it.
- 4
The digits of 67013 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67013 = 19 \times 3527 \]
67013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 63468 |
| Square | 4490742169 |
| Cube | 300938104971197 |
| Square root | 258.868693 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7013 × |
67013 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and thirteen |
| Binary (base 2) | 10000010111000101 |
| Octal (base 8) | 202705 |
| Hexadecimal (base 16) | 105C5 |
| Base 3 | 10101220222 |
| As time | 67013 seconds = 18 h 36 min 53 s |
Is 67013 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 | No (remainder 2) | 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 5) | 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 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67013 a prime number?
No. 67013 = 19 × 3527, so it is divisible by 19.
What are the factors of 67013?
1, 19, 3527, 67013.
What is 67013 in binary?
10000010111000101 (hexadecimal 105C5, octal 202705).
What is the square root of 67013?
About 258.8687.
Is 67013 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67013?
67013 is a semiprime: 19 × 3527, the product of two primes.