The number 33761
33761 is a composite number with 12 divisors. Its prime factorisation is × 13 × 53. Divisors (12): 1, 7, 13, 49, 53, 91, 371, 637, 689, 2597, 4823, 33761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33761 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33761 is composite. Its prime factorisation is
- 3
The divisors add up to 43092; without 33761 itself that is 9331, so 33761 is deficient (9331 is less than 33761). Euler's totient φ(33761) = 26208 numbers up to 33761 share no factor with it.
- 4
The digits of 33761 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33761 = 7^{2} \times 13 \times 53 \]33761 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43092 |
| Euler totient φ(n) | 26208 |
| Square | 1139805121 |
| Cube | 38480960690081 |
| Square root | 183.741666 (= 7√689) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3761 × |
33761 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and sixty-one |
| Binary (base 2) | 1000001111100001 |
| Octal (base 8) | 101741 |
| Hexadecimal (base 16) | 83E1 |
| Base 3 | 1201022102 |
| As time | 33761 seconds = 9 h 22 min 41 s |
Is 33761 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33761 ÷ 7 = 4823) | 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 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33761 a prime number?
No. 33761 = × 13 × 53, so it is divisible by 7.
What are the factors of 33761?
1, 7, 13, 49, 53, 91, 371, 637, 689, 2597, 4823, 33761.
What is 33761 in binary?
1000001111100001 (hexadecimal 83E1, octal 101741).
What is the square root of 33761?
About 183.7417, exactly 7√689.
Is 33761 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33761?
It is a composite number with 12 divisors.