The number 33982
33982 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1307. Divisors (8): 1, 2, 13, 26, 1307, 2614, 16991, 33982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33982: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33982 is composite. Its prime factorisation is
- 3
The divisors add up to 54936; without 33982 itself that is 20954, so 33982 is deficient (20954 is less than 33982). Euler's totient φ(33982) = 15672 numbers up to 33982 share no factor with it.
- 4
The digits of 33982 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33982 = 2 \times 13 \times 1307 \]
33982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54936 |
| Euler totient φ(n) | 15672 |
| Square | 1154776324 |
| Cube | 39241609042168 |
| Square root | 184.342073 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3982 × |
33982 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-two |
| Binary (base 2) | 1000010010111110 |
| Octal (base 8) | 102276 |
| Hexadecimal (base 16) | 84BE |
| Base 3 | 1201121121 |
| As time | 33982 seconds = 9 h 26 min 22 s |
Is 33982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33982 ÷ 2 = 16991) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33982 a prime number?
No. 33982 = 2 × 13 × 1307, so it is divisible by 2.
What are the factors of 33982?
1, 2, 13, 26, 1307, 2614, 16991, 33982.
What is 33982 in binary?
1000010010111110 (hexadecimal 84BE, octal 102276).
What is the square root of 33982?
About 184.3421.
Is 33982 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33982?
33982 is a happy number: repeatedly adding the squares of its digits reaches 1.