The number 67023
67023 is a composite number with 12 divisors. Its prime factorisation is × 11 × 677. Divisors (12): 1, 3, 9, 11, 33, 99, 677, 2031, 6093, 7447, 22341, 67023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67023 is composite. Its prime factorisation is
- 3
The divisors add up to 105768; without 67023 itself that is 38745, so 67023 is deficient (38745 is less than 67023). Euler's totient φ(67023) = 40560 numbers up to 67023 share no factor with it.
- 4
The digits of 67023 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67023 = 3^{2} \times 11 \times 677 \]67023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105768 |
| Euler totient φ(n) | 40560 |
| Square | 4492082529 |
| Cube | 301072847341167 |
| Square root | 258.888007 (= 3√7447) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.7023 × |
67023 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and twenty-three |
| Binary (base 2) | 10000010111001111 |
| Octal (base 8) | 202717 |
| Hexadecimal (base 16) | 105CF |
| Base 3 | 10101221100 |
| As time | 67023 seconds = 18 h 37 min 3 s |
Is 67023 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 (67023 ÷ 3 = 22341) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67023 ÷ 9 = 7447) | 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 | Yes (67023 ÷ 11 = 6093) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67023 a prime number?
No. 67023 = × 11 × 677, so it is divisible by 3.
What are the factors of 67023?
1, 3, 9, 11, 33, 99, 677, 2031, 6093, 7447, 22341, 67023.
What is 67023 in binary?
10000010111001111 (hexadecimal 105CF, octal 202717).
What is the square root of 67023?
About 258.8880, exactly 3√7447.
Is 67023 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67023?
It is a composite number with 12 divisors.