The number 33979
33979 is a composite number with 4 divisors. Its prime factorisation is 11 × 3089. Divisors (4): 1, 11, 3089, 33979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33979: a semiprime: 11 × 3089, the product of two primes.
- 2
33979 is composite. Its prime factorisation is
- 3
The divisors add up to 37080; without 33979 itself that is 3101, so 33979 is deficient (3101 is less than 33979). Euler's totient φ(33979) = 30880 numbers up to 33979 share no factor with it.
- 4
The digits of 33979 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33979 = 11 \times 3089 \]
33979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37080 |
| Euler totient φ(n) | 30880 |
| Square | 1154572441 |
| Cube | 39231216972739 |
| Square root | 184.333936 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.3979 × |
33979 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy-nine |
| Binary (base 2) | 1000010010111011 |
| Octal (base 8) | 102273 |
| Hexadecimal (base 16) | 84BB |
| Base 3 | 1201121111 |
| As time | 33979 seconds = 9 h 26 min 19 s |
Is 33979 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (33979 ÷ 11 = 3089) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33979 a prime number?
No. 33979 = 11 × 3089, so it is divisible by 11.
What are the factors of 33979?
1, 11, 3089, 33979.
What is 33979 in binary?
1000010010111011 (hexadecimal 84BB, octal 102273).
What is the square root of 33979?
About 184.3339.
Is 33979 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 33979?
33979 is a semiprime: 11 × 3089, the product of two primes.