The number 67331
67331 is a composite number with 4 divisors. Its prime factorisation is 11 × 6121. Divisors (4): 1, 11, 6121, 67331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67331: a semiprime: 11 × 6121, the product of two primes.
- 2
67331 is composite. Its prime factorisation is
- 3
The divisors add up to 73464; without 67331 itself that is 6133, so 67331 is deficient (6133 is less than 67331). Euler's totient φ(67331) = 61200 numbers up to 67331 share no factor with it.
- 4
The digits of 67331 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67331 = 11 \times 6121 \]
67331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73464 |
| Euler totient φ(n) | 61200 |
| Square | 4533463561 |
| Cube | 305242635025691 |
| Square root | 259.482177 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7331 × |
67331 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and thirty-one |
| Binary (base 2) | 10000011100000011 |
| Octal (base 8) | 203403 |
| Hexadecimal (base 16) | 10703 |
| Base 3 | 10102100202 |
| As time | 67331 seconds = 18 h 42 min 11 s |
Is 67331 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 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67331 ÷ 11 = 6121) | 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 67331 a prime number?
No. 67331 = 11 × 6121, so it is divisible by 11.
What are the factors of 67331?
1, 11, 6121, 67331.
What is 67331 in binary?
10000011100000011 (hexadecimal 10703, octal 203403).
What is the square root of 67331?
About 259.4822.
Is 67331 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67331?
67331 is a semiprime: 11 × 6121, the product of two primes.