The number 40010
40010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4001. Divisors (8): 1, 2, 5, 10, 4001, 8002, 20005, 40010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40010: a Harshad number: divisible by its digit sum 5.
- 2
40010 is composite. Its prime factorisation is
- 3
The divisors add up to 72036; without 40010 itself that is 32026, so 40010 is deficient (32026 is less than 40010). Euler's totient φ(40010) = 16000 numbers up to 40010 share no factor with it.
- 4
The digits of 40010 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40010 = 2 \times 5 \times 4001 \]
40010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72036 |
| Euler totient φ(n) | 16000 |
| Square | 1600800100 |
| Cube | 64048012001000 |
| Square root | 200.024998 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.001 × |
40010 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and ten |
| Binary (base 2) | 1001110001001010 |
| Octal (base 8) | 116112 |
| Hexadecimal (base 16) | 9C4A |
| Base 3 | 2000212212 |
| As time | 40010 seconds = 11 h 6 min 50 s |
Is 40010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40010 ÷ 2 = 20005) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40010 ÷ 5 = 8002) | 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 5) | 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 | No (remainder 2) | 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 | Yes (40010 ÷ 10 = 4001) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40010 a prime number?
No. 40010 = 2 × 5 × 4001, so it is divisible by 2.
What are the factors of 40010?
1, 2, 5, 10, 4001, 8002, 20005, 40010.
What is 40010 in binary?
1001110001001010 (hexadecimal 9C4A, octal 116112).
What is the square root of 40010?
About 200.0250.
Is 40010 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 40010?
40010 is a Harshad number: divisible by its digit sum 5.