The number 67613
67613 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 743. Divisors (8): 1, 7, 13, 91, 743, 5201, 9659, 67613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67613 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67613 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 67613 itself that is 15715, so 67613 is deficient (15715 is less than 67613). Euler's totient φ(67613) = 53424 numbers up to 67613 share no factor with it.
- 4
The digits of 67613 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 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67613 = 7 \times 13 \times 743 \]
67613 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 53424 |
| Square | 4571517769 |
| Cube | 309094030915397 |
| Square root | 260.024999 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7613 × |
67613 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and thirteen |
| Binary (base 2) | 10000100000011101 |
| Octal (base 8) | 204035 |
| Hexadecimal (base 16) | 1081D |
| Base 3 | 10102202012 |
| As time | 67613 seconds = 18 h 46 min 53 s |
Is 67613 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 3) | 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 (67613 ÷ 7 = 9659) | 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 5) | 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 7) | 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 67613 a prime number?
No. 67613 = 7 × 13 × 743, so it is divisible by 7.
What are the factors of 67613?
1, 7, 13, 91, 743, 5201, 9659, 67613.
What is 67613 in binary?
10000100000011101 (hexadecimal 1081D, octal 204035).
What is the square root of 67613?
About 260.0250.
Is 67613 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67613?
It is a composite number with 8 divisors.