The number 67014
67014 is a composite number with 32 divisors. Its prime factorisation is 2 × × 17 × 73. Divisors (32): 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219 … 67014.
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How to work it out
- 1
What is special about 67014: a Harshad number: divisible by its digit sum 18.
- 2
67014 is composite. Its prime factorisation is
- 3
The divisors add up to 159840; without 67014 itself that is 92826, so 67014 is abundant (92826 is more than 67014). Euler's totient φ(67014) = 20736 numbers up to 67014 share no factor with it.
- 4
The digits of 67014 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67014 = 2 \times 3^{3} \times 17 \times 73 \]67014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 159840 |
| Euler totient φ(n) | 20736 |
| Square | 4490876196 |
| Cube | 300951577398744 |
| Square root | 258.870624 (= 3√7446) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7014 × |
67014 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and fourteen |
| Binary (base 2) | 10000010111000110 |
| Octal (base 8) | 202706 |
| Hexadecimal (base 16) | 105C6 |
| Base 3 | 10101221000 |
| As time | 67014 seconds = 18 h 36 min 54 s |
Is 67014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67014 ÷ 2 = 33507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67014 ÷ 3 = 22338) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (67014 ÷ 6 = 11169) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67014 ÷ 9 = 7446) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67014 a prime number?
No. 67014 = 2 × × 17 × 73, so it is divisible by 2.
What are the factors of 67014?
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507, 67014.
What is 67014 in binary?
10000010111000110 (hexadecimal 105C6, octal 202706).
What is the square root of 67014?
About 258.8706, exactly 3√7446.
Is 67014 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67014?
67014 is a Harshad number: divisible by its digit sum 18.