The number 67144
67144 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 109. Divisors (32): 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 109, 154, 218 … 67144.
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How to work it out
- 1
What is special about 67144: a Harshad number: divisible by its digit sum 22.
- 2
67144 is composite. Its prime factorisation is
- 3
The divisors add up to 158400; without 67144 itself that is 91256, so 67144 is abundant (91256 is more than 67144). Euler's totient φ(67144) = 25920 numbers up to 67144 share no factor with it.
- 4
The digits of 67144 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67144 = 2^{3} \times 7 \times 11 \times 109 \]67144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 158400 |
| Euler totient φ(n) | 25920 |
| Square | 4508316736 |
| Cube | 302706418921984 |
| Square root | 259.121593 (= 2√16786) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7144 × |
67144 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and forty-four |
| Binary (base 2) | 10000011001001000 |
| Octal (base 8) | 203110 |
| Hexadecimal (base 16) | 10648 |
| Base 3 | 10102002211 |
| As time | 67144 seconds = 18 h 39 min 4 s |
Is 67144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67144 ÷ 2 = 33572) | 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 | Yes (67144 ÷ 4 = 16786) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67144 ÷ 7 = 9592) | 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 | Yes (67144 ÷ 8 = 8393) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (67144 ÷ 11 = 6104) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67144 a prime number?
No. 67144 = × 7 × 11 × 109, so it is divisible by 2.
What are the factors of 67144?
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 109, 154, 218, 308, 436, 616, 763, 872, 1199, 1526, 2398, 3052, 4796, 6104, 8393, 9592, 16786, 33572, 67144.
What is 67144 in binary?
10000011001001000 (hexadecimal 10648, octal 203110).
What is the square root of 67144?
About 259.1216, exactly 2√16786.
Is 67144 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67144?
67144 is a Harshad number: divisible by its digit sum 22.