The number 67816
67816 is a composite number with 24 divisors. Its prime factorisation is × × 173. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 173, 196, 346, 392, 692, 1211 … 67816.
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How to work it out
- 1
What is special about 67816: a Harshad number: divisible by its digit sum 28.
- 2
67816 is composite. Its prime factorisation is
- 3
The divisors add up to 148770; without 67816 itself that is 80954, so 67816 is abundant (80954 is more than 67816). Euler's totient φ(67816) = 28896 numbers up to 67816 share no factor with it.
- 4
The digits of 67816 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67816 = 2^{3} \times 7^{2} \times 173 \]67816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 148770 |
| Euler totient φ(n) | 28896 |
| Square | 4599009856 |
| Cube | 311886452394496 |
| Square root | 260.415053 (= 14√346) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7816 × |
67816 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and sixteen |
| Binary (base 2) | 10000100011101000 |
| Octal (base 8) | 204350 |
| Hexadecimal (base 16) | 108E8 |
| Base 3 | 10110000201 |
| As time | 67816 seconds = 18 h 50 min 16 s |
Is 67816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67816 ÷ 2 = 33908) | 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 (67816 ÷ 4 = 16954) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67816 ÷ 7 = 9688) | 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 (67816 ÷ 8 = 8477) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67816 a prime number?
No. 67816 = × × 173, so it is divisible by 2.
What are the factors of 67816?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 173, 196, 346, 392, 692, 1211, 1384, 2422, 4844, 8477, 9688, 16954, 33908, 67816.
What is 67816 in binary?
10000100011101000 (hexadecimal 108E8, octal 204350).
What is the square root of 67816?
About 260.4151, exactly 14√346.
Is 67816 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67816?
67816 is a Harshad number: divisible by its digit sum 28.