The number 67124
67124 is a composite number with 12 divisors. Its prime factorisation is × 97 × 173. Divisors (12): 1, 2, 4, 97, 173, 194, 346, 388, 692, 16781, 33562, 67124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67124 is composite. Its prime factorisation is
- 3
The divisors add up to 119364; without 67124 itself that is 52240, so 67124 is deficient (52240 is less than 67124). Euler's totient φ(67124) = 33024 numbers up to 67124 share no factor with it.
- 4
The digits of 67124 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67124 = 2^{2} \times 97 \times 173 \]67124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 119364 |
| Euler totient φ(n) | 33024 |
| Square | 4505631376 |
| Cube | 302436000482624 |
| Square root | 259.082998 (= 2√16781) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7124 × |
67124 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and twenty-four |
| Binary (base 2) | 10000011000110100 |
| Octal (base 8) | 203064 |
| Hexadecimal (base 16) | 10634 |
| Base 3 | 10102002002 |
| As time | 67124 seconds = 18 h 38 min 44 s |
Is 67124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67124 ÷ 2 = 33562) | 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 | Yes (67124 ÷ 4 = 16781) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67124 a prime number?
No. 67124 = × 97 × 173, so it is divisible by 2.
What are the factors of 67124?
1, 2, 4, 97, 173, 194, 346, 388, 692, 16781, 33562, 67124.
What is 67124 in binary?
10000011000110100 (hexadecimal 10634, octal 203064).
What is the square root of 67124?
About 259.0830, exactly 2√16781.
Is 67124 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67124?
It is a composite number with 12 divisors.