The number 4180
4180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 19. Divisors (24): 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190 … 4180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4180 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 4180 itself that is 5900, so 4180 is abundant (5900 is more than 4180). Euler's totient φ(4180) = 1440 numbers up to 4180 share no factor with it.
- 4
The digits of 4180 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4180 = 2^{2} \times 5 \times 11 \times 19 \]4180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 1440 |
| Square | 17472400 |
| Cube | 73034632000 |
| Square root | 64.652920 (= 2√1045) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.18 × |
4180 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and eighty |
| Binary (base 2) | 1000001010100 |
| Octal (base 8) | 10124 |
| Hexadecimal (base 16) | 1054 |
| Base 3 | 12201211 |
| As time | 4180 seconds = 1 h 9 min 40 s |
Is 4180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4180 ÷ 2 = 2090) | 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 (4180 ÷ 4 = 1045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4180 ÷ 5 = 836) | 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 1) | 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 4) | 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 | Yes (4180 ÷ 10 = 418) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4180 ÷ 11 = 380) | 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 4180 a prime number?
No. 4180 = × 5 × 11 × 19, so it is divisible by 2.
What are the factors of 4180?
1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180.
What is 4180 in binary?
1000001010100 (hexadecimal 1054, octal 10124).
What is the square root of 4180?
About 64.6529, exactly 2√1045.
Is 4180 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4180?
It is a composite number with 24 divisors.