The number 40002
40002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 59 × 113. Divisors (16): 1, 2, 3, 6, 59, 113, 118, 177, 226, 339, 354, 678, 6667, 13334, 20001, 40002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40002: a Harshad number: divisible by its digit sum 6.
- 2
40002 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 40002 itself that is 42078, so 40002 is abundant (42078 is more than 40002). Euler's totient φ(40002) = 12992 numbers up to 40002 share no factor with it.
- 4
The digits of 40002 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40002 = 2 \times 3 \times 59 \times 113 \]
40002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 12992 |
| Square | 1600160004 |
| Cube | 64009600480008 |
| Square root | 200.005000 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0002 × |
40002 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and two |
| Binary (base 2) | 1001110001000010 |
| Octal (base 8) | 116102 |
| Hexadecimal (base 16) | 9C42 |
| Base 3 | 2000212120 |
| As time | 40002 seconds = 11 h 6 min 42 s |
Is 40002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40002 ÷ 2 = 20001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40002 ÷ 3 = 13334) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40002 ÷ 6 = 6667) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40002 a prime number?
No. 40002 = 2 × 3 × 59 × 113, so it is divisible by 2.
What are the factors of 40002?
1, 2, 3, 6, 59, 113, 118, 177, 226, 339, 354, 678, 6667, 13334, 20001, 40002.
What is 40002 in binary?
1001110001000010 (hexadecimal 9C42, octal 116102).
What is the square root of 40002?
About 200.0050.
Is 40002 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 40002?
40002 is a Harshad number: divisible by its digit sum 6.