The number 34424
34424 is a composite number with 16 divisors. Its prime factorisation is × 13 × 331. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 331, 662, 1324, 2648, 4303, 8606, 17212, 34424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34424 is composite. Its prime factorisation is
- 3
The divisors add up to 69720; without 34424 itself that is 35296, so 34424 is abundant (35296 is more than 34424). Euler's totient φ(34424) = 15840 numbers up to 34424 share no factor with it.
- 4
The digits of 34424 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34424 = 2^{3} \times 13 \times 331 \]34424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69720 |
| Euler totient φ(n) | 15840 |
| Square | 1185011776 |
| Cube | 40792845377024 |
| Square root | 185.537058 (= 2√8606) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.4424 × |
34424 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and twenty-four |
| Binary (base 2) | 1000011001111000 |
| Octal (base 8) | 103170 |
| Hexadecimal (base 16) | 8678 |
| Base 3 | 1202012222 |
| As time | 34424 seconds = 9 h 33 min 44 s |
Is 34424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34424 ÷ 2 = 17212) | 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 | Yes (34424 ÷ 4 = 8606) | 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 5) | 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 (34424 ÷ 8 = 4303) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34424 a prime number?
No. 34424 = × 13 × 331, so it is divisible by 2.
What are the factors of 34424?
1, 2, 4, 8, 13, 26, 52, 104, 331, 662, 1324, 2648, 4303, 8606, 17212, 34424.
What is 34424 in binary?
1000011001111000 (hexadecimal 8678, octal 103170).
What is the square root of 34424?
About 185.5371, exactly 2√8606.
Is 34424 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 34424?
It is a composite number with 16 divisors.