The number 35113
35113 is a composite number with 8 divisors. Its prime factorisation is 13 × 37 × 73. Divisors (8): 1, 13, 37, 73, 481, 949, 2701, 35113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35113: a Harshad number: divisible by its digit sum 13.
- 2
35113 is composite. Its prime factorisation is
- 3
The divisors add up to 39368; without 35113 itself that is 4255, so 35113 is deficient (4255 is less than 35113). Euler's totient φ(35113) = 31104 numbers up to 35113 share no factor with it.
- 4
The digits of 35113 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 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35113 = 13 \times 37 \times 73 \]
35113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39368 |
| Euler totient φ(n) | 31104 |
| Square | 1232922769 |
| Cube | 43291617187897 |
| Square root | 187.384631 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.5113 × |
35113 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand one hundred and thirteen |
| Binary (base 2) | 1000100100101001 |
| Octal (base 8) | 104451 |
| Hexadecimal (base 16) | 8929 |
| Base 3 | 1210011111 |
| As time | 35113 seconds = 9 h 45 min 13 s |
Is 35113 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 | No (remainder 1) | 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 1) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35113 a prime number?
No. 35113 = 13 × 37 × 73, so it is divisible by 13.
What are the factors of 35113?
1, 13, 37, 73, 481, 949, 2701, 35113.
What is 35113 in binary?
1000100100101001 (hexadecimal 8929, octal 104451).
What is the square root of 35113?
About 187.3846.
Is 35113 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35113?
35113 is a Harshad number: divisible by its digit sum 13.