The number 67009
67009 is a composite number with 4 divisors. Its prime factorisation is 113 × 593. Divisors (4): 1, 113, 593, 67009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67009: a semiprime: 113 × 593, the product of two primes.
- 2
67009 is composite. Its prime factorisation is
- 3
The divisors add up to 67716; without 67009 itself that is 707, so 67009 is deficient (707 is less than 67009). Euler's totient φ(67009) = 66304 numbers up to 67009 share no factor with it.
- 4
The digits of 67009 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67009 = 113 \times 593 \]
67009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 67716 |
| Euler totient φ(n) | 66304 |
| Square | 4490206081 |
| Cube | 300884219281729 |
| Square root | 258.860967 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7009 × |
67009 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and nine |
| Binary (base 2) | 10000010111000001 |
| Octal (base 8) | 202701 |
| Hexadecimal (base 16) | 105C1 |
| Base 3 | 10101220211 |
| As time | 67009 seconds = 18 h 36 min 49 s |
Is 67009 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67009 a prime number?
No. 67009 = 113 × 593, so it is divisible by 113.
What are the factors of 67009?
1, 113, 593, 67009.
What is 67009 in binary?
10000010111000001 (hexadecimal 105C1, octal 202701).
What is the square root of 67009?
About 258.8610.
Is 67009 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67009?
67009 is a semiprime: 113 × 593, the product of two primes.