The number 40064
40064 is a composite number with 16 divisors. Its prime factorisation is × 313. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 313, 626, 1252, 2504, 5008, 10016, 20032, 40064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40064: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40064 is composite. Its prime factorisation is
- 3
The divisors add up to 80070; without 40064 itself that is 40006, so 40064 is deficient (40006 is less than 40064). Euler's totient φ(40064) = 19968 numbers up to 40064 share no factor with it.
- 4
The digits of 40064 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40064 = 2^{7} \times 313 \]40064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80070 |
| Euler totient φ(n) | 19968 |
| Square | 1605124096 |
| Cube | 64307691782144 |
| Square root | 200.159936 (= 8√626) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0064 × |
40064 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and sixty-four |
| Binary (base 2) | 1001110010000000 |
| Octal (base 8) | 116200 |
| Hexadecimal (base 16) | 9C80 |
| Base 3 | 2000221212 |
| As time | 40064 seconds = 11 h 7 min 44 s |
Is 40064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40064 ÷ 2 = 20032) | 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 (40064 ÷ 4 = 10016) | 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 3) | 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 (40064 ÷ 8 = 5008) | 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 2) | 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 40064 a prime number?
No. 40064 = × 313, so it is divisible by 2.
What are the factors of 40064?
1, 2, 4, 8, 16, 32, 64, 128, 313, 626, 1252, 2504, 5008, 10016, 20032, 40064.
What is 40064 in binary?
1001110010000000 (hexadecimal 9C80, octal 116200).
What is the square root of 40064?
About 200.1599, exactly 8√626.
Is 40064 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40064?
40064 is a happy number: repeatedly adding the squares of its digits reaches 1.