The number 35048
35048 is a composite number with 16 divisors. Its prime factorisation is × 13 × 337. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 337, 674, 1348, 2696, 4381, 8762, 17524, 35048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35048 is composite. Its prime factorisation is
- 3
The divisors add up to 70980; without 35048 itself that is 35932, so 35048 is abundant (35932 is more than 35048). Euler's totient φ(35048) = 16128 numbers up to 35048 share no factor with it.
- 4
The digits of 35048 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35048 = 2^{3} \times 13 \times 337 \]35048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70980 |
| Euler totient φ(n) | 16128 |
| Square | 1228362304 |
| Cube | 43051642030592 |
| Square root | 187.211111 (= 2√8762) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5048 × |
35048 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and forty-eight |
| Binary (base 2) | 1000100011101000 |
| Octal (base 8) | 104350 |
| Hexadecimal (base 16) | 88E8 |
| Base 3 | 1210002002 |
| As time | 35048 seconds = 9 h 44 min 8 s |
Is 35048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35048 ÷ 2 = 17524) | 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 | Yes (35048 ÷ 4 = 8762) | 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 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 | Yes (35048 ÷ 8 = 4381) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35048 a prime number?
No. 35048 = × 13 × 337, so it is divisible by 2.
What are the factors of 35048?
1, 2, 4, 8, 13, 26, 52, 104, 337, 674, 1348, 2696, 4381, 8762, 17524, 35048.
What is 35048 in binary?
1000100011101000 (hexadecimal 88E8, octal 104350).
What is the square root of 35048?
About 187.2111, exactly 2√8762.
Is 35048 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35048?
It is a composite number with 16 divisors.