The number 67461
67461 is a composite number with 8 divisors. Its prime factorisation is 3 × 113 × 199. Divisors (8): 1, 3, 113, 199, 339, 597, 22487, 67461.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67461 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67461 is composite. Its prime factorisation is
- 3
The divisors add up to 91200; without 67461 itself that is 23739, so 67461 is deficient (23739 is less than 67461). Euler's totient φ(67461) = 44352 numbers up to 67461 share no factor with it.
- 4
The digits of 67461 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67461 = 3 \times 113 \times 199 \]
67461 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91200 |
| Euler totient φ(n) | 44352 |
| Square | 4550986521 |
| Cube | 307014101693181 |
| Square root | 259.732555 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7461 × |
67461 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and sixty-one |
| Binary (base 2) | 10000011110000101 |
| Octal (base 8) | 203605 |
| Hexadecimal (base 16) | 10785 |
| Base 3 | 10102112120 |
| As time | 67461 seconds = 18 h 44 min 21 s |
Is 67461 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 | Yes (67461 ÷ 3 = 22487) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67461 a prime number?
No. 67461 = 3 × 113 × 199, so it is divisible by 3.
What are the factors of 67461?
1, 3, 113, 199, 339, 597, 22487, 67461.
What is 67461 in binary?
10000011110000101 (hexadecimal 10785, octal 203605).
What is the square root of 67461?
About 259.7326.
Is 67461 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67461?
It is a composite number with 8 divisors.