The number 33949
33949 is a composite number with 4 divisors. Its prime factorisation is 17 × 1997. Divisors (4): 1, 17, 1997, 33949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33949: a semiprime: 17 × 1997, the product of two primes.
- 2
33949 is composite. Its prime factorisation is
- 3
The divisors add up to 35964; without 33949 itself that is 2015, so 33949 is deficient (2015 is less than 33949). Euler's totient φ(33949) = 31936 numbers up to 33949 share no factor with it.
- 4
The digits of 33949 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33949 = 17 \times 1997 \]
33949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 35964 |
| Euler totient φ(n) | 31936 |
| Square | 1152534601 |
| Cube | 39127397169349 |
| Square root | 184.252544 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.3949 × |
33949 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and forty-nine |
| Binary (base 2) | 1000010010011101 |
| Octal (base 8) | 102235 |
| Hexadecimal (base 16) | 849D |
| Base 3 | 1201120101 |
| As time | 33949 seconds = 9 h 25 min 49 s |
Is 33949 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33949 a prime number?
No. 33949 = 17 × 1997, so it is divisible by 17.
What are the factors of 33949?
1, 17, 1997, 33949.
What is 33949 in binary?
1000010010011101 (hexadecimal 849D, octal 102235).
What is the square root of 33949?
About 184.2525.
Is 33949 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 33949?
33949 is a semiprime: 17 × 1997, the product of two primes.