The number 4108
4108 is a composite number with 12 divisors. Its prime factorisation is × 13 × 79. Divisors (12): 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4108: a Harshad number: divisible by its digit sum 13.
- 2
4108 is composite. Its prime factorisation is
- 3
The divisors add up to 7840; without 4108 itself that is 3732, so 4108 is deficient (3732 is less than 4108). Euler's totient φ(4108) = 1872 numbers up to 4108 share no factor with it.
- 4
The digits of 4108 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4108 = 2^{2} \times 13 \times 79 \]4108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7840 |
| Euler totient φ(n) | 1872 |
| Square | 16875664 |
| Cube | 69325227712 |
| Square root | 64.093681 (= 2√1027) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.108 × |
4108 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and eight |
| Binary (base 2) | 1000000001100 |
| Octal (base 8) | 10014 |
| Hexadecimal (base 16) | 100C |
| Base 3 | 12122011 |
| As time | 4108 seconds = 1 h 8 min 28 s |
Is 4108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4108 ÷ 2 = 2054) | 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 (4108 ÷ 4 = 1027) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 4108 a prime number?
No. 4108 = × 13 × 79, so it is divisible by 2.
What are the factors of 4108?
1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108.
What is 4108 in binary?
1000000001100 (hexadecimal 100C, octal 10014).
What is the square root of 4108?
About 64.0937, exactly 2√1027.
Is 4108 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4108?
4108 is a Harshad number: divisible by its digit sum 13.