The number 40029
40029 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1213. Divisors (8): 1, 3, 11, 33, 1213, 3639, 13343, 40029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40029 is composite. Its prime factorisation is
- 3
The divisors add up to 58272; without 40029 itself that is 18243, so 40029 is deficient (18243 is less than 40029). Euler's totient φ(40029) = 24240 numbers up to 40029 share no factor with it.
- 4
The digits of 40029 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40029 = 3 \times 11 \times 1213 \]
40029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58272 |
| Euler totient φ(n) | 24240 |
| Square | 1602320841 |
| Cube | 64139300944389 |
| Square root | 200.072487 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0029 × |
40029 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and twenty-nine |
| Binary (base 2) | 1001110001011101 |
| Octal (base 8) | 116135 |
| Hexadecimal (base 16) | 9C5D |
| Base 3 | 2000220120 |
| As time | 40029 seconds = 11 h 7 min 9 s |
Is 40029 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40029 ÷ 3 = 13343) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40029 ÷ 11 = 3639) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40029 a prime number?
No. 40029 = 3 × 11 × 1213, so it is divisible by 3.
What are the factors of 40029?
1, 3, 11, 33, 1213, 3639, 13343, 40029.
What is 40029 in binary?
1001110001011101 (hexadecimal 9C5D, octal 116135).
What is the square root of 40029?
About 200.0725.
Is 40029 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40029?
It is a composite number with 8 divisors.