The number 4113
4113 is a composite number with 6 divisors. Its prime factorisation is × 457. Divisors (6): 1, 3, 9, 457, 1371, 4113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4113: a Harshad number: divisible by its digit sum 9.
- 2
4113 is composite. Its prime factorisation is
- 3
The divisors add up to 5954; without 4113 itself that is 1841, so 4113 is deficient (1841 is less than 4113). Euler's totient φ(4113) = 2736 numbers up to 4113 share no factor with it.
- 4
The digits of 4113 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4113 = 3^{2} \times 457 \]4113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5954 |
| Euler totient φ(n) | 2736 |
| Square | 16916769 |
| Cube | 69578670897 |
| Square root | 64.132675 (= 3√457) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.113 × |
4113 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirteen |
| Binary (base 2) | 1000000010001 |
| Octal (base 8) | 10021 |
| Hexadecimal (base 16) | 1011 |
| Base 3 | 12122100 |
| As time | 4113 seconds = 1 h 8 min 33 s |
Is 4113 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4113 ÷ 3 = 1371) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4113 ÷ 9 = 457) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4113 a prime number?
No. 4113 = × 457, so it is divisible by 3.
What are the factors of 4113?
1, 3, 9, 457, 1371, 4113.
What is 4113 in binary?
1000000010001 (hexadecimal 1011, octal 10021).
What is the square root of 4113?
About 64.1327, exactly 3√457.
Is 4113 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4113?
4113 is a Harshad number: divisible by its digit sum 9.