The number 4146
4146 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 691. Divisors (8): 1, 2, 3, 6, 691, 1382, 2073, 4146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4146 is composite. Its prime factorisation is
- 3
The divisors add up to 8304; without 4146 itself that is 4158, so 4146 is abundant (4158 is more than 4146). Euler's totient φ(4146) = 1380 numbers up to 4146 share no factor with it.
- 4
The digits of 4146 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4146 = 2 \times 3 \times 691 \]
4146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8304 |
| Euler totient φ(n) | 1380 |
| Square | 17189316 |
| Cube | 71266904136 |
| Square root | 64.389440 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.146 × |
4146 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and forty-six |
| Binary (base 2) | 1000000110010 |
| Octal (base 8) | 10062 |
| Hexadecimal (base 16) | 1032 |
| Base 3 | 12200120 |
| As time | 4146 seconds = 1 h 9 min 6 s |
Is 4146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4146 ÷ 2 = 2073) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4146 ÷ 3 = 1382) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4146 ÷ 6 = 691) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 4146 a prime number?
No. 4146 = 2 × 3 × 691, so it is divisible by 2.
What are the factors of 4146?
1, 2, 3, 6, 691, 1382, 2073, 4146.
What is 4146 in binary?
1000000110010 (hexadecimal 1032, octal 10062).
What is the square root of 4146?
About 64.3894.
Is 4146 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4146?
It is a composite number with 8 divisors.