The number 33983
33983 is a composite number with 4 divisors. Its prime factorisation is 17 × 1999. Divisors (4): 1, 17, 1999, 33983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33983: a semiprime: 17 × 1999, the product of two primes.
- 2
33983 is composite. Its prime factorisation is
- 3
The divisors add up to 36000; without 33983 itself that is 2017, so 33983 is deficient (2017 is less than 33983). Euler's totient φ(33983) = 31968 numbers up to 33983 share no factor with it.
- 4
The digits of 33983 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33983 = 17 \times 1999 \]
33983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36000 |
| Euler totient φ(n) | 31968 |
| Square | 1154844289 |
| Cube | 39245073473087 |
| Square root | 184.344786 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3983 × |
33983 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-three |
| Binary (base 2) | 1000010010111111 |
| Octal (base 8) | 102277 |
| Hexadecimal (base 16) | 84BF |
| Base 3 | 1201121122 |
| As time | 33983 seconds = 9 h 26 min 23 s |
Is 33983 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 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33983 a prime number?
No. 33983 = 17 × 1999, so it is divisible by 17.
What are the factors of 33983?
1, 17, 1999, 33983.
What is 33983 in binary?
1000010010111111 (hexadecimal 84BF, octal 102277).
What is the square root of 33983?
About 184.3448.
Is 33983 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33983?
33983 is a semiprime: 17 × 1999, the product of two primes.