The number 67072
67072 is a composite number with 20 divisors. Its prime factorisation is × 131. Divisors (20): 1, 2, 4, 8, 16, 32, 64, 128, 131, 256, 262, 512, 524, 1048, 2096, 4192 … 67072.
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How to work it out
- 1
67072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67072 is composite. Its prime factorisation is
- 3
The divisors add up to 135036; without 67072 itself that is 67964, so 67072 is abundant (67964 is more than 67072). Euler's totient φ(67072) = 33280 numbers up to 67072 share no factor with it.
- 4
The digits of 67072 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67072 = 2^{9} \times 131 \]67072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 135036 |
| Euler totient φ(n) | 33280 |
| Square | 4498653184 |
| Cube | 301733666357248 |
| Square root | 258.982625 (= 16√262) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7072 × |
67072 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and seventy-two |
| Binary (base 2) | 10000011000000000 |
| Octal (base 8) | 203000 |
| Hexadecimal (base 16) | 10600 |
| Base 3 | 10102000011 |
| As time | 67072 seconds = 18 h 37 min 52 s |
Is 67072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67072 ÷ 2 = 33536) | 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 (67072 ÷ 4 = 16768) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 5) | 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 (67072 ÷ 8 = 8384) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67072 a prime number?
No. 67072 = × 131, so it is divisible by 2.
What are the factors of 67072?
1, 2, 4, 8, 16, 32, 64, 128, 131, 256, 262, 512, 524, 1048, 2096, 4192, 8384, 16768, 33536, 67072.
What is 67072 in binary?
10000011000000000 (hexadecimal 10600, octal 203000).
What is the square root of 67072?
About 258.9826, exactly 16√262.
Is 67072 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67072?
It is a composite number with 20 divisors.