The number 67109
67109 is a composite number with 4 divisors. Its prime factorisation is 7 × 9587. Divisors (4): 1, 7, 9587, 67109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67109: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 9587, the product of two primes.
- 2
67109 is composite. Its prime factorisation is
- 3
The divisors add up to 76704; without 67109 itself that is 9595, so 67109 is deficient (9595 is less than 67109). Euler's totient φ(67109) = 57516 numbers up to 67109 share no factor with it.
- 4
The digits of 67109 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 267 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67109 = 7 \times 9587 \]
67109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 76704 |
| Euler totient φ(n) | 57516 |
| Square | 4503617881 |
| Cube | 302233292376029 |
| Square root | 259.054048 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 267 |
| Scientific notation | 6.7109 × |
67109 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and nine |
| Binary (base 2) | 10000011000100101 |
| Octal (base 8) | 203045 |
| Hexadecimal (base 16) | 10625 |
| Base 3 | 10102001112 |
| As time | 67109 seconds = 18 h 38 min 29 s |
Is 67109 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 4) | 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 | Yes (67109 ÷ 7 = 9587) | 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 5) | 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 9) | 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 67109 a prime number?
No. 67109 = 7 × 9587, so it is divisible by 7.
What are the factors of 67109?
1, 7, 9587, 67109.
What is 67109 in binary?
10000011000100101 (hexadecimal 10625, octal 203045).
What is the square root of 67109?
About 259.0540.
Is 67109 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67109?
67109 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 9587, the product of two primes.