The number 40034
40034 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 541. Divisors (8): 1, 2, 37, 74, 541, 1082, 20017, 40034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40034 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40034 is composite. Its prime factorisation is
- 3
The divisors add up to 61788; without 40034 itself that is 21754, so 40034 is deficient (21754 is less than 40034). Euler's totient φ(40034) = 19440 numbers up to 40034 share no factor with it.
- 4
The digits of 40034 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40034 = 2 \times 37 \times 541 \]
40034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61788 |
| Euler totient φ(n) | 19440 |
| Square | 1602721156 |
| Cube | 64163338759304 |
| Square root | 200.084982 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0034 × |
40034 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-four |
| Binary (base 2) | 1001110001100010 |
| Octal (base 8) | 116142 |
| Hexadecimal (base 16) | 9C62 |
| Base 3 | 2000220202 |
| As time | 40034 seconds = 11 h 7 min 14 s |
Is 40034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40034 ÷ 2 = 20017) | 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 | No (remainder 4) | 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 40034 a prime number?
No. 40034 = 2 × 37 × 541, so it is divisible by 2.
What are the factors of 40034?
1, 2, 37, 74, 541, 1082, 20017, 40034.
What is 40034 in binary?
1001110001100010 (hexadecimal 9C62, octal 116142).
What is the square root of 40034?
About 200.0850.
Is 40034 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40034?
It is a composite number with 8 divisors.