The number 67091
67091 is a composite number with 4 divisors. Its prime factorisation is 23 × 2917. Divisors (4): 1, 23, 2917, 67091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67091: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2917, the product of two primes.
- 2
67091 is composite. Its prime factorisation is
- 3
The divisors add up to 70032; without 67091 itself that is 2941, so 67091 is deficient (2941 is less than 67091). Euler's totient φ(67091) = 64152 numbers up to 67091 share no factor with it.
- 4
The digits of 67091 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67091 = 23 \times 2917 \]
67091 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 70032 |
| Euler totient φ(n) | 64152 |
| Square | 4501202281 |
| Cube | 301990162234571 |
| Square root | 259.019304 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7091 × |
67091 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and ninety-one |
| Binary (base 2) | 10000011000010011 |
| Octal (base 8) | 203023 |
| Hexadecimal (base 16) | 10613 |
| Base 3 | 10102000212 |
| As time | 67091 seconds = 18 h 38 min 11 s |
Is 67091 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 1) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 67091 a prime number?
No. 67091 = 23 × 2917, so it is divisible by 23.
What are the factors of 67091?
1, 23, 2917, 67091.
What is 67091 in binary?
10000011000010011 (hexadecimal 10613, octal 203023).
What is the square root of 67091?
About 259.0193.
Is 67091 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67091?
67091 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2917, the product of two primes.