The number 40096
40096 is a composite number with 24 divisors. Its prime factorisation is × 7 × 179. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 179, 224, 358, 716, 1253 … 40096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40096: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40096 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 40096 itself that is 50624, so 40096 is abundant (50624 is more than 40096). Euler's totient φ(40096) = 17088 numbers up to 40096 share no factor with it.
- 4
The digits of 40096 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40096 = 2^{5} \times 7 \times 179 \]40096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 17088 |
| Square | 1607689216 |
| Cube | 64461906804736 |
| Square root | 200.239856 (= 4√2506) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0096 × |
40096 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and ninety-six |
| Binary (base 2) | 1001110010100000 |
| Octal (base 8) | 116240 |
| Hexadecimal (base 16) | 9CA0 |
| Base 3 | 2001000001 |
| As time | 40096 seconds = 11 h 8 min 16 s |
Is 40096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40096 ÷ 2 = 20048) | 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 (40096 ÷ 4 = 10024) | 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 | Yes (40096 ÷ 7 = 5728) | 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 (40096 ÷ 8 = 5012) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 40096 a prime number?
No. 40096 = × 7 × 179, so it is divisible by 2.
What are the factors of 40096?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 179, 224, 358, 716, 1253, 1432, 2506, 2864, 5012, 5728, 10024, 20048, 40096.
What is 40096 in binary?
1001110010100000 (hexadecimal 9CA0, octal 116240).
What is the square root of 40096?
About 200.2399, exactly 4√2506.
Is 40096 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40096?
40096 is a happy number: repeatedly adding the squares of its digits reaches 1.