The number 3434
3434 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 101. Divisors (8): 1, 2, 17, 34, 101, 202, 1717, 3434.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3434 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3434 is composite. Its prime factorisation is
- 3
The divisors add up to 5508; without 3434 itself that is 2074, so 3434 is deficient (2074 is less than 3434). Euler's totient φ(3434) = 1600 numbers up to 3434 share no factor with it.
- 4
The digits of 3434 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3434 = 2 \times 17 \times 101 \]
3434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5508 |
| Euler totient φ(n) | 1600 |
| Square | 11792356 |
| Cube | 40494950504 |
| Square root | 58.600341 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.434 × |
3434 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and thirty-four |
| Roman numerals | MMMCDXXXIV |
| Binary (base 2) | 110101101010 |
| Octal (base 8) | 6552 |
| Hexadecimal (base 16) | D6A |
| Base 3 | 11201012 |
| As time | 3434 seconds = 57 min 14 s |
Is 3434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3434 ÷ 2 = 1717) | 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 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 5) | 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 2) | 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 3434 a prime number?
No. 3434 = 2 × 17 × 101, so it is divisible by 2.
What are the factors of 3434?
1, 2, 17, 34, 101, 202, 1717, 3434.
What is 3434 in binary?
110101101010 (hexadecimal D6A, octal 6552).
What is the square root of 3434?
About 58.6003.
What is 3434 in Roman numerals?
MMMCDXXXIV.
Is 3434 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3434?
It is a composite number with 8 divisors.