The number 40000
40000 is a perfect square (200²). Its prime factorisation is × . Divisors (35): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125 … 40000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40000: a perfect square (200²); a Harshad number: divisible by its digit sum 4.
- 2
40000 is composite. Its prime factorisation is
- 3
The divisors add up to 99187; without 40000 itself that is 59187, so 40000 is abundant (59187 is more than 40000). Euler's totient φ(40000) = 16000 numbers up to 40000 share no factor with it.
- 4
The digits of 40000 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40000 = 2^{6} \times 5^{4} \]40000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 35 |
| Sum of divisors | 99187 |
| Euler totient φ(n) | 16000 |
| Square | 1600000000 |
| Cube | 64000000000000 |
| Square root | 200 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4 × |
| Perfect power |
40000 in other forms
| Form | Value |
|---|---|
| In words | forty thousand |
| Binary (base 2) | 1001110001000000 |
| Octal (base 8) | 116100 |
| Hexadecimal (base 16) | 9C40 |
| Base 3 | 2000212111 |
| As time | 40000 seconds = 11 h 6 min 40 s |
Is 40000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40000 ÷ 2 = 20000) | 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 (40000 ÷ 4 = 10000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40000 ÷ 5 = 8000) | 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 (40000 ÷ 8 = 5000) | 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 | Yes (40000 ÷ 10 = 4000) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 40000 a prime number?
No. 40000 = × , so it is divisible by 2.
What are the factors of 40000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 8000, 10000, 20000, 40000.
What is 40000 in binary?
1001110001000000 (hexadecimal 9C40, octal 116100).
What is the square root of 40000?
200, because 200 × 200 = 40000.
Is 40000 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 40000?
40000 is a perfect square (200²); a Harshad number: divisible by its digit sum 4.