The number 4118
4118 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 71. Divisors (8): 1, 2, 29, 58, 71, 142, 2059, 4118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4118: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4118 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 4118 itself that is 2362, so 4118 is deficient (2362 is less than 4118). Euler's totient φ(4118) = 1960 numbers up to 4118 share no factor with it.
- 4
The digits of 4118 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4118 = 2 \times 29 \times 71 \]
4118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1960 |
| Square | 16957924 |
| Cube | 69832731032 |
| Square root | 64.171645 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.118 × |
4118 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and eighteen |
| Binary (base 2) | 1000000010110 |
| Octal (base 8) | 10026 |
| Hexadecimal (base 16) | 1016 |
| Base 3 | 12122112 |
| As time | 4118 seconds = 1 h 8 min 38 s |
Is 4118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4118 ÷ 2 = 2059) | 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 3) | 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 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 4118 a prime number?
No. 4118 = 2 × 29 × 71, so it is divisible by 2.
What are the factors of 4118?
1, 2, 29, 58, 71, 142, 2059, 4118.
What is 4118 in binary?
1000000010110 (hexadecimal 1016, octal 10026).
What is the square root of 4118?
About 64.1716.
Is 4118 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4118?
4118 is a happy number: repeatedly adding the squares of its digits reaches 1.