The number 34024
34024 is a composite number with 8 divisors. Its prime factorisation is × 4253. Divisors (8): 1, 2, 4, 8, 4253, 8506, 17012, 34024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34024 is composite. Its prime factorisation is
- 3
The divisors add up to 63810; without 34024 itself that is 29786, so 34024 is deficient (29786 is less than 34024). Euler's totient φ(34024) = 17008 numbers up to 34024 share no factor with it.
- 4
The digits of 34024 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34024 = 2^{3} \times 4253 \]34024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63810 |
| Euler totient φ(n) | 17008 |
| Square | 1157632576 |
| Cube | 39387290765824 |
| Square root | 184.455957 (= 2√8506) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4024 × |
34024 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and twenty-four |
| Binary (base 2) | 1000010011101000 |
| Octal (base 8) | 102350 |
| Hexadecimal (base 16) | 84E8 |
| Base 3 | 1201200011 |
| As time | 34024 seconds = 9 h 27 min 4 s |
Is 34024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34024 ÷ 2 = 17012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (34024 ÷ 4 = 8506) | 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 4) | 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 | Yes (34024 ÷ 8 = 4253) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34024 a prime number?
No. 34024 = × 4253, so it is divisible by 2.
What are the factors of 34024?
1, 2, 4, 8, 4253, 8506, 17012, 34024.
What is 34024 in binary?
1000010011101000 (hexadecimal 84E8, octal 102350).
What is the square root of 34024?
About 184.4560, exactly 2√8506.
Is 34024 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 34024?
It is a composite number with 8 divisors.