The number 40008
40008 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1667. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 40008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40008: a Harshad number: divisible by its digit sum 12.
- 2
40008 is composite. Its prime factorisation is
- 3
The divisors add up to 100080; without 40008 itself that is 60072, so 40008 is abundant (60072 is more than 40008). Euler's totient φ(40008) = 13328 numbers up to 40008 share no factor with it.
- 4
The digits of 40008 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40008 = 2^{3} \times 3 \times 1667 \]40008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100080 |
| Euler totient φ(n) | 13328 |
| Square | 1600640064 |
| Cube | 64038407680512 |
| Square root | 200.019999 (= 2√10002) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0008 × |
40008 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and eight |
| Binary (base 2) | 1001110001001000 |
| Octal (base 8) | 116110 |
| Hexadecimal (base 16) | 9C48 |
| Base 3 | 2000212210 |
| As time | 40008 seconds = 11 h 6 min 48 s |
Is 40008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40008 ÷ 2 = 20004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40008 ÷ 3 = 13336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40008 ÷ 4 = 10002) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40008 ÷ 6 = 6668) | 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 (40008 ÷ 8 = 5001) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (40008 ÷ 12 = 3334) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40008 a prime number?
No. 40008 = × 3 × 1667, so it is divisible by 2.
What are the factors of 40008?
1, 2, 3, 4, 6, 8, 12, 24, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 40008.
What is 40008 in binary?
1001110001001000 (hexadecimal 9C48, octal 116110).
What is the square root of 40008?
About 200.0200, exactly 2√10002.
Is 40008 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40008?
40008 is a Harshad number: divisible by its digit sum 12.