The number 33974
33974 is a composite number with 4 divisors. Its prime factorisation is 2 × 16987. Divisors (4): 1, 2, 16987, 33974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33974: a semiprime: 2 × 16987, the product of two primes.
- 2
33974 is composite. Its prime factorisation is
- 3
The divisors add up to 50964; without 33974 itself that is 16990, so 33974 is deficient (16990 is less than 33974). Euler's totient φ(33974) = 16986 numbers up to 33974 share no factor with it.
- 4
The digits of 33974 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
\[ 33974 = 2 \times 16987 \]
33974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50964 |
| Euler totient φ(n) | 16986 |
| Square | 1154232676 |
| Cube | 39213900934424 |
| Square root | 184.320373 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3974 × |
33974 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy-four |
| Binary (base 2) | 1000010010110110 |
| Octal (base 8) | 102266 |
| Hexadecimal (base 16) | 84B6 |
| Base 3 | 1201121022 |
| As time | 33974 seconds = 9 h 26 min 14 s |
Is 33974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33974 ÷ 2 = 16987) | 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 2) | 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 2) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33974 a prime number?
No. 33974 = 2 × 16987, so it is divisible by 2.
What are the factors of 33974?
1, 2, 16987, 33974.
What is 33974 in binary?
1000010010110110 (hexadecimal 84B6, octal 102266).
What is the square root of 33974?
About 184.3204.
Is 33974 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33974?
33974 is a semiprime: 2 × 16987, the product of two primes.