The number 67564
67564 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 127. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 76, 127, 133, 254, 266, 508, 532, 889 … 67564.
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How to work it out
- 1
What is special about 67564: a Harshad number: divisible by its digit sum 28.
- 2
67564 is composite. Its prime factorisation is
- 3
The divisors add up to 143360; without 67564 itself that is 75796, so 67564 is abundant (75796 is more than 67564). Euler's totient φ(67564) = 27216 numbers up to 67564 share no factor with it.
- 4
The digits of 67564 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 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67564 = 2^{2} \times 7 \times 19 \times 127 \]67564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 143360 |
| Euler totient φ(n) | 27216 |
| Square | 4564894096 |
| Cube | 308422504702144 |
| Square root | 259.930760 (= 2√16891) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7564 × |
67564 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and sixty-four |
| Binary (base 2) | 10000011111101100 |
| Octal (base 8) | 203754 |
| Hexadecimal (base 16) | 107EC |
| Base 3 | 10102200101 |
| As time | 67564 seconds = 18 h 46 min 4 s |
Is 67564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67564 ÷ 2 = 33782) | 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 (67564 ÷ 4 = 16891) | 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 (67564 ÷ 7 = 9652) | 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 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67564 a prime number?
No. 67564 = × 7 × 19 × 127, so it is divisible by 2.
What are the factors of 67564?
1, 2, 4, 7, 14, 19, 28, 38, 76, 127, 133, 254, 266, 508, 532, 889, 1778, 2413, 3556, 4826, 9652, 16891, 33782, 67564.
What is 67564 in binary?
10000011111101100 (hexadecimal 107EC, octal 203754).
What is the square root of 67564?
About 259.9308, exactly 2√16891.
Is 67564 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67564?
67564 is a Harshad number: divisible by its digit sum 28.