The number 67361
67361 is a composite number with 4 divisors. Its prime factorisation is 7 × 9623. Divisors (4): 1, 7, 9623, 67361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67361: a semiprime: 7 × 9623, the product of two primes.
- 2
67361 is composite. Its prime factorisation is
- 3
The divisors add up to 76992; without 67361 itself that is 9631, so 67361 is deficient (9631 is less than 67361). Euler's totient φ(67361) = 57732 numbers up to 67361 share no factor with it.
- 4
The digits of 67361 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67361 = 7 \times 9623 \]
67361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 76992 |
| Euler totient φ(n) | 57732 |
| Square | 4537504321 |
| Cube | 305650828566881 |
| Square root | 259.539978 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7361 × |
67361 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and sixty-one |
| Binary (base 2) | 10000011100100001 |
| Octal (base 8) | 203441 |
| Hexadecimal (base 16) | 10721 |
| Base 3 | 10102101212 |
| As time | 67361 seconds = 18 h 42 min 41 s |
Is 67361 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 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 | Yes (67361 ÷ 7 = 9623) | 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 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 8) | 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 67361 a prime number?
No. 67361 = 7 × 9623, so it is divisible by 7.
What are the factors of 67361?
1, 7, 9623, 67361.
What is 67361 in binary?
10000011100100001 (hexadecimal 10721, octal 203441).
What is the square root of 67361?
About 259.5400.
Is 67361 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67361?
67361 is a semiprime: 7 × 9623, the product of two primes.