The number 67123
67123 is a composite number with 8 divisors. Its prime factorisation is 7 × 43 × 223. Divisors (8): 1, 7, 43, 223, 301, 1561, 9589, 67123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67123 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67123 is composite. Its prime factorisation is
- 3
The divisors add up to 78848; without 67123 itself that is 11725, so 67123 is deficient (11725 is less than 67123). Euler's totient φ(67123) = 55944 numbers up to 67123 share no factor with it.
- 4
The digits of 67123 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67123 = 7 \times 43 \times 223 \]
67123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78848 |
| Euler totient φ(n) | 55944 |
| Square | 4505497129 |
| Cube | 302422483789867 |
| Square root | 259.081068 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7123 × |
67123 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and twenty-three |
| Binary (base 2) | 10000011000110011 |
| Octal (base 8) | 203063 |
| Hexadecimal (base 16) | 10633 |
| Base 3 | 10102002001 |
| As time | 67123 seconds = 18 h 38 min 43 s |
Is 67123 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67123 ÷ 7 = 9589) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67123 a prime number?
No. 67123 = 7 × 43 × 223, so it is divisible by 7.
What are the factors of 67123?
1, 7, 43, 223, 301, 1561, 9589, 67123.
What is 67123 in binary?
10000011000110011 (hexadecimal 10633, octal 203063).
What is the square root of 67123?
About 259.0811.
Is 67123 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67123?
It is a composite number with 8 divisors.