The number 67116
67116 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 17 × 47. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 47, 51, 68 … 67116.
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How to work it out
- 1
What is special about 67116: a Harshad number: divisible by its digit sum 21.
- 2
67116 is composite. Its prime factorisation is
- 3
The divisors add up to 193536; without 67116 itself that is 126420, so 67116 is abundant (126420 is more than 67116). Euler's totient φ(67116) = 17664 numbers up to 67116 share no factor with it.
- 4
The digits of 67116 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67116 = 2^{2} \times 3 \times 7 \times 17 \times 47 \]67116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 193536 |
| Euler totient φ(n) | 17664 |
| Square | 4504557456 |
| Cube | 302327878216896 |
| Square root | 259.067559 (= 2√16779) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7116 × |
67116 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and sixteen |
| Binary (base 2) | 10000011000101100 |
| Octal (base 8) | 203054 |
| Hexadecimal (base 16) | 1062C |
| Base 3 | 10102001210 |
| As time | 67116 seconds = 18 h 38 min 36 s |
Is 67116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67116 ÷ 2 = 33558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67116 ÷ 3 = 22372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67116 ÷ 4 = 16779) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67116 ÷ 6 = 11186) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67116 ÷ 7 = 9588) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67116 ÷ 12 = 5593) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67116 a prime number?
No. 67116 = × 3 × 7 × 17 × 47, so it is divisible by 2.
What are the factors of 67116?
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 47, 51, 68, 84, 94, 102, 119, 141, 188, 204, 238, 282, 329, 357, 476, 564, 658, 714, 799, 987, 1316, 1428, 1598, 1974, 2397, 3196, 3948, 4794, 5593, 9588, 11186, 16779, 22372, 33558, 67116.
What is 67116 in binary?
10000011000101100 (hexadecimal 1062C, octal 203054).
What is the square root of 67116?
About 259.0676, exactly 2√16779.
Is 67116 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67116?
67116 is a Harshad number: divisible by its digit sum 21.