The number 40336
40336 is a composite number with 10 divisors. Its prime factorisation is × 2521. Divisors (10): 1, 2, 4, 8, 16, 2521, 5042, 10084, 20168, 40336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40336: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
40336 is composite. Its prime factorisation is
- 3
The divisors add up to 78182; without 40336 itself that is 37846, so 40336 is deficient (37846 is less than 40336). Euler's totient φ(40336) = 20160 numbers up to 40336 share no factor with it.
- 4
The digits of 40336 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40336 = 2^{4} \times 2521 \]40336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 78182 |
| Euler totient φ(n) | 20160 |
| Square | 1626992896 |
| Cube | 65626385453056 |
| Square root | 200.838243 (= 4√2521) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0336 × |
40336 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and thirty-six |
| Binary (base 2) | 1001110110010000 |
| Octal (base 8) | 116620 |
| Hexadecimal (base 16) | 9D90 |
| Base 3 | 2001022221 |
| As time | 40336 seconds = 11 h 12 min 16 s |
Is 40336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40336 ÷ 2 = 20168) | 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 (40336 ÷ 4 = 10084) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (40336 ÷ 8 = 5042) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | 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 40336 a prime number?
No. 40336 = × 2521, so it is divisible by 2.
What are the factors of 40336?
1, 2, 4, 8, 16, 2521, 5042, 10084, 20168, 40336.
What is 40336 in binary?
1001110110010000 (hexadecimal 9D90, octal 116620).
What is the square root of 40336?
About 200.8382, exactly 4√2521.
Is 40336 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40336?
40336 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.