The number 67413
67413 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 977. Divisors (8): 1, 3, 23, 69, 977, 2931, 22471, 67413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67413 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67413 is composite. Its prime factorisation is
- 3
The divisors add up to 93888; without 67413 itself that is 26475, so 67413 is deficient (26475 is less than 67413). Euler's totient φ(67413) = 42944 numbers up to 67413 share no factor with it.
- 4
The digits of 67413 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67413 = 3 \times 23 \times 977 \]
67413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93888 |
| Euler totient φ(n) | 42944 |
| Square | 4544512569 |
| Cube | 306359225813997 |
| Square root | 259.640136 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7413 × |
67413 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and thirteen |
| Binary (base 2) | 10000011101010101 |
| Octal (base 8) | 203525 |
| Hexadecimal (base 16) | 10755 |
| Base 3 | 10102110210 |
| As time | 67413 seconds = 18 h 43 min 33 s |
Is 67413 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 (67413 ÷ 3 = 22471) | 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 67413 a prime number?
No. 67413 = 3 × 23 × 977, so it is divisible by 3.
What are the factors of 67413?
1, 3, 23, 69, 977, 2931, 22471, 67413.
What is 67413 in binary?
10000011101010101 (hexadecimal 10755, octal 203525).
What is the square root of 67413?
About 259.6401.
Is 67413 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67413?
It is a composite number with 8 divisors.