The number 4134
4134 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 53. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4134 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4134 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 4134 itself that is 4938, so 4134 is abundant (4938 is more than 4134). Euler's totient φ(4134) = 1248 numbers up to 4134 share no factor with it.
- 4
The digits of 4134 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4134 = 2 \times 3 \times 13 \times 53 \]
4134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 1248 |
| Square | 17089956 |
| Cube | 70649878104 |
| Square root | 64.296190 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.134 × |
4134 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty-four |
| Binary (base 2) | 1000000100110 |
| Octal (base 8) | 10046 |
| Hexadecimal (base 16) | 1026 |
| Base 3 | 12200010 |
| As time | 4134 seconds = 1 h 8 min 54 s |
Is 4134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4134 ÷ 2 = 2067) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4134 ÷ 3 = 1378) | 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 | Yes (4134 ÷ 6 = 689) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4134 a prime number?
No. 4134 = 2 × 3 × 13 × 53, so it is divisible by 2.
What are the factors of 4134?
1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134.
What is 4134 in binary?
1000000100110 (hexadecimal 1026, octal 10046).
What is the square root of 4134?
About 64.2962.
Is 4134 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4134?
It is a composite number with 16 divisors.