The number 33973
33973 is a composite number with 4 divisors. Its prime factorisation is 53 × 641. Divisors (4): 1, 53, 641, 33973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33973: a semiprime: 53 × 641, the product of two primes.
- 2
33973 is composite. Its prime factorisation is
- 3
The divisors add up to 34668; without 33973 itself that is 695, so 33973 is deficient (695 is less than 33973). Euler's totient φ(33973) = 33280 numbers up to 33973 share no factor with it.
- 4
The digits of 33973 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33973 = 53 \times 641 \]
33973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34668 |
| Euler totient φ(n) | 33280 |
| Square | 1154164729 |
| Cube | 39210438338317 |
| Square root | 184.317661 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3973 × |
33973 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy-three |
| Binary (base 2) | 1000010010110101 |
| Octal (base 8) | 102265 |
| Hexadecimal (base 16) | 84B5 |
| Base 3 | 1201121021 |
| As time | 33973 seconds = 9 h 26 min 13 s |
Is 33973 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 3) | 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 2) | 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 7) | 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 5) | 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 33973 a prime number?
No. 33973 = 53 × 641, so it is divisible by 53.
What are the factors of 33973?
1, 53, 641, 33973.
What is 33973 in binary?
1000010010110101 (hexadecimal 84B5, octal 102265).
What is the square root of 33973?
About 184.3177.
Is 33973 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33973?
33973 is a semiprime: 53 × 641, the product of two primes.