The number 35061
35061 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 29 × 31. Divisors (16): 1, 3, 13, 29, 31, 39, 87, 93, 377, 403, 899, 1131, 1209, 2697, 11687, 35061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35061 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35061 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 35061 itself that is 18699, so 35061 is deficient (18699 is less than 35061). Euler's totient φ(35061) = 20160 numbers up to 35061 share no factor with it.
- 4
The digits of 35061 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35061 = 3 \times 13 \times 29 \times 31 \]
35061 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 20160 |
| Square | 1229273721 |
| Cube | 43099565931981 |
| Square root | 187.245828 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5061 × |
35061 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and sixty-one |
| Binary (base 2) | 1000100011110101 |
| Octal (base 8) | 104365 |
| Hexadecimal (base 16) | 88F5 |
| Base 3 | 1210002120 |
| As time | 35061 seconds = 9 h 44 min 21 s |
Is 35061 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 (35061 ÷ 3 = 11687) | 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 1) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35061 a prime number?
No. 35061 = 3 × 13 × 29 × 31, so it is divisible by 3.
What are the factors of 35061?
1, 3, 13, 29, 31, 39, 87, 93, 377, 403, 899, 1131, 1209, 2697, 11687, 35061.
What is 35061 in binary?
1000100011110101 (hexadecimal 88F5, octal 104365).
What is the square root of 35061?
About 187.2458.
Is 35061 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 35061?
It is a composite number with 16 divisors.