The number 33879
33879 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 491. Divisors (8): 1, 3, 23, 69, 491, 1473, 11293, 33879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33879 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33879 is composite. Its prime factorisation is
- 3
The divisors add up to 47232; without 33879 itself that is 13353, so 33879 is deficient (13353 is less than 33879). Euler's totient φ(33879) = 21560 numbers up to 33879 share no factor with it.
- 4
The digits of 33879 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33879 = 3 \times 23 \times 491 \]
33879 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47232 |
| Euler totient φ(n) | 21560 |
| Square | 1147786641 |
| Cube | 38885863610439 |
| Square root | 184.062489 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3879 × |
33879 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and seventy-nine |
| Binary (base 2) | 1000010001010111 |
| Octal (base 8) | 102127 |
| Hexadecimal (base 16) | 8457 |
| Base 3 | 1201110210 |
| As time | 33879 seconds = 9 h 24 min 39 s |
Is 33879 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 (33879 ÷ 3 = 11293) | 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 4) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33879 a prime number?
No. 33879 = 3 × 23 × 491, so it is divisible by 3.
What are the factors of 33879?
1, 3, 23, 69, 491, 1473, 11293, 33879.
What is 33879 in binary?
1000010001010111 (hexadecimal 8457, octal 102127).
What is the square root of 33879?
About 184.0625.
Is 33879 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 33879?
It is a composite number with 8 divisors.