The number 67007
67007 is a composite number with 4 divisors. Its prime factorisation is 37 × 1811. Divisors (4): 1, 37, 1811, 67007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67007: a semiprime: 37 × 1811, the product of two primes.
- 2
67007 is composite. Its prime factorisation is
- 3
The divisors add up to 68856; without 67007 itself that is 1849, so 67007 is deficient (1849 is less than 67007). Euler's totient φ(67007) = 65160 numbers up to 67007 share no factor with it.
- 4
The digits of 67007 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 267 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67007 = 37 \times 1811 \]
67007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 68856 |
| Euler totient φ(n) | 65160 |
| Square | 4489938049 |
| Cube | 300857278849343 |
| Square root | 258.857103 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 267 |
| Scientific notation | 6.7007 × |
67007 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and seven |
| Binary (base 2) | 10000010110111111 |
| Octal (base 8) | 202677 |
| Hexadecimal (base 16) | 105BF |
| Base 3 | 10101220202 |
| As time | 67007 seconds = 18 h 36 min 47 s |
Is 67007 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67007 a prime number?
No. 67007 = 37 × 1811, so it is divisible by 37.
What are the factors of 67007?
1, 37, 1811, 67007.
What is 67007 in binary?
10000010110111111 (hexadecimal 105BF, octal 202677).
What is the square root of 67007?
About 258.8571.
Is 67007 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67007?
67007 is a semiprime: 37 × 1811, the product of two primes.