The number 67006
67006 is a composite number with 4 divisors. Its prime factorisation is 2 × 33503. Divisors (4): 1, 2, 33503, 67006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67006: a semiprime: 2 × 33503, the product of two primes.
- 2
67006 is composite. Its prime factorisation is
- 3
The divisors add up to 100512; without 67006 itself that is 33506, so 67006 is deficient (33506 is less than 67006). Euler's totient φ(67006) = 33502 numbers up to 67006 share no factor with it.
- 4
The digits of 67006 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67006 = 2 \times 33503 \]
67006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 100512 |
| Euler totient φ(n) | 33502 |
| Square | 4489804036 |
| Cube | 300843809236216 |
| Square root | 258.855172 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7006 × |
67006 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and six |
| Binary (base 2) | 10000010110111110 |
| Octal (base 8) | 202676 |
| Hexadecimal (base 16) | 105BE |
| Base 3 | 10101220201 |
| As time | 67006 seconds = 18 h 36 min 46 s |
Is 67006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67006 ÷ 2 = 33503) | 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 1) | 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 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 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 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67006 a prime number?
No. 67006 = 2 × 33503, so it is divisible by 2.
What are the factors of 67006?
1, 2, 33503, 67006.
What is 67006 in binary?
10000010110111110 (hexadecimal 105BE, octal 202676).
What is the square root of 67006?
About 258.8552.
Is 67006 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67006?
67006 is a semiprime: 2 × 33503, the product of two primes.