The number 33873
33873 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1613. Divisors (8): 1, 3, 7, 21, 1613, 4839, 11291, 33873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33873 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33873 is composite. Its prime factorisation is
- 3
The divisors add up to 51648; without 33873 itself that is 17775, so 33873 is deficient (17775 is less than 33873). Euler's totient φ(33873) = 19344 numbers up to 33873 share no factor with it.
- 4
The digits of 33873 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33873 = 3 \times 7 \times 1613 \]
33873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51648 |
| Euler totient φ(n) | 19344 |
| Square | 1147380129 |
| Cube | 38865207109617 |
| Square root | 184.046190 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.3873 × |
33873 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and seventy-three |
| Binary (base 2) | 1000010001010001 |
| Octal (base 8) | 102121 |
| Hexadecimal (base 16) | 8451 |
| Base 3 | 1201110120 |
| As time | 33873 seconds = 9 h 24 min 33 s |
Is 33873 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 | Yes (33873 ÷ 3 = 11291) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33873 ÷ 7 = 4839) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33873 a prime number?
No. 33873 = 3 × 7 × 1613, so it is divisible by 3.
What are the factors of 33873?
1, 3, 7, 21, 1613, 4839, 11291, 33873.
What is 33873 in binary?
1000010001010001 (hexadecimal 8451, octal 102121).
What is the square root of 33873?
About 184.0462.
Is 33873 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33873?
It is a composite number with 8 divisors.