The number 33981
33981 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 241. Divisors (8): 1, 3, 47, 141, 241, 723, 11327, 33981.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33981 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33981 is composite. Its prime factorisation is
- 3
The divisors add up to 46464; without 33981 itself that is 12483, so 33981 is deficient (12483 is less than 33981). Euler's totient φ(33981) = 22080 numbers up to 33981 share no factor with it.
- 4
The digits of 33981 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33981 = 3 \times 47 \times 241 \]
33981 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46464 |
| Euler totient φ(n) | 22080 |
| Square | 1154708361 |
| Cube | 39238144815141 |
| Square root | 184.339361 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3981 × |
33981 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-one |
| Binary (base 2) | 1000010010111101 |
| Octal (base 8) | 102275 |
| Hexadecimal (base 16) | 84BD |
| Base 3 | 1201121120 |
| As time | 33981 seconds = 9 h 26 min 21 s |
Is 33981 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 (33981 ÷ 3 = 11327) | 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 3) | 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 2) | 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 33981 a prime number?
No. 33981 = 3 × 47 × 241, so it is divisible by 3.
What are the factors of 33981?
1, 3, 47, 141, 241, 723, 11327, 33981.
What is 33981 in binary?
1000010010111101 (hexadecimal 84BD, octal 102275).
What is the square root of 33981?
About 184.3394.
Is 33981 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33981?
It is a composite number with 8 divisors.