The number 4064
4064 is a composite number with 12 divisors. Its prime factorisation is × 127. Divisors (12): 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4064: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4064 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 4064 itself that is 4000, so 4064 is deficient (4000 is less than 4064). Euler's totient φ(4064) = 2016 numbers up to 4064 share no factor with it.
- 4
The digits of 4064 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4064 = 2^{5} \times 127 \]4064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 2016 |
| Square | 16516096 |
| Cube | 67121414144 |
| Square root | 63.749510 (= 4√254) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.064 × |
4064 in other forms
| Form | Value |
|---|---|
| In words | four thousand and sixty-four |
| Binary (base 2) | 111111100000 |
| Octal (base 8) | 7740 |
| Hexadecimal (base 16) | FE0 |
| Base 3 | 12120112 |
| As time | 4064 seconds = 1 h 7 min 44 s |
Is 4064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4064 ÷ 2 = 2032) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4064 ÷ 4 = 1016) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (4064 ÷ 8 = 508) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4064 a prime number?
No. 4064 = × 127, so it is divisible by 2.
What are the factors of 4064?
1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064.
What is 4064 in binary?
111111100000 (hexadecimal FE0, octal 7740).
What is the square root of 4064?
About 63.7495, exactly 4√254.
Is 4064 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4064?
4064 is a happy number: repeatedly adding the squares of its digits reaches 1.