The number 67416
67416 is a composite number with 24 divisors. Its prime factorisation is × 3 × . Divisors (24): 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272 … 67416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67416: a Harshad number: divisible by its digit sum 24.
- 2
67416 is composite. Its prime factorisation is
- 3
The divisors add up to 171780; without 67416 itself that is 104364, so 67416 is abundant (104364 is more than 67416). Euler's totient φ(67416) = 22048 numbers up to 67416 share no factor with it.
- 4
The digits of 67416 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67416 = 2^{3} \times 3 \times 53^{2} \]67416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 171780 |
| Euler totient φ(n) | 22048 |
| Square | 4544917056 |
| Cube | 306400128247296 |
| Square root | 259.645913 (= 106√6) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7416 × |
67416 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and sixteen |
| Binary (base 2) | 10000011101011000 |
| Octal (base 8) | 203530 |
| Hexadecimal (base 16) | 10758 |
| Base 3 | 10102110220 |
| As time | 67416 seconds = 18 h 43 min 36 s |
Is 67416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67416 ÷ 2 = 33708) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67416 ÷ 3 = 22472) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67416 ÷ 4 = 16854) | 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 (67416 ÷ 6 = 11236) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (67416 ÷ 8 = 8427) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67416 ÷ 12 = 5618) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67416 a prime number?
No. 67416 = × 3 × , so it is divisible by 2.
What are the factors of 67416?
1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272, 2809, 5618, 8427, 11236, 16854, 22472, 33708, 67416.
What is 67416 in binary?
10000011101011000 (hexadecimal 10758, octal 203530).
What is the square root of 67416?
About 259.6459, exactly 106√6.
Is 67416 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67416?
67416 is a Harshad number: divisible by its digit sum 24.