The number 67441
67441 is a composite number with 4 divisors. Its prime factorisation is 11 × 6131. Divisors (4): 1, 11, 6131, 67441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67441: a semiprime: 11 × 6131, the product of two primes.
- 2
67441 is composite. Its prime factorisation is
- 3
The divisors add up to 73584; without 67441 itself that is 6143, so 67441 is deficient (6143 is less than 67441). Euler's totient φ(67441) = 61300 numbers up to 67441 share no factor with it.
- 4
The digits of 67441 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67441 = 11 \times 6131 \]
67441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73584 |
| Euler totient φ(n) | 61300 |
| Square | 4548288481 |
| Cube | 306741123447121 |
| Square root | 259.694051 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7441 × |
67441 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and forty-one |
| Binary (base 2) | 10000011101110001 |
| Octal (base 8) | 203561 |
| Hexadecimal (base 16) | 10771 |
| Base 3 | 10102111211 |
| As time | 67441 seconds = 18 h 44 min 1 s |
Is 67441 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 1) | 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 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 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67441 ÷ 11 = 6131) | 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 67441 a prime number?
No. 67441 = 11 × 6131, so it is divisible by 11.
What are the factors of 67441?
1, 11, 6131, 67441.
What is 67441 in binary?
10000011101110001 (hexadecimal 10771, octal 203561).
What is the square root of 67441?
About 259.6941.
Is 67441 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67441?
67441 is a semiprime: 11 × 6131, the product of two primes.