The number 33820
33820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 89. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 76, 89, 95, 178, 190, 356, 380, 445 … 33820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33820: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33820 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 33820 itself that is 41780, so 33820 is abundant (41780 is more than 33820). Euler's totient φ(33820) = 12672 numbers up to 33820 share no factor with it.
- 4
The digits of 33820 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33820 = 2^{2} \times 5 \times 19 \times 89 \]33820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 12672 |
| Square | 1143792400 |
| Cube | 38683058968000 |
| Square root | 183.902148 (= 2√8455) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.382 × |
33820 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and twenty |
| Binary (base 2) | 1000010000011100 |
| Octal (base 8) | 102034 |
| Hexadecimal (base 16) | 841C |
| Base 3 | 1201101121 |
| As time | 33820 seconds = 9 h 23 min 40 s |
Is 33820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33820 ÷ 2 = 16910) | 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 | Yes (33820 ÷ 4 = 8455) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33820 ÷ 5 = 6764) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 | Yes (33820 ÷ 10 = 3382) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33820 a prime number?
No. 33820 = × 5 × 19 × 89, so it is divisible by 2.
What are the factors of 33820?
1, 2, 4, 5, 10, 19, 20, 38, 76, 89, 95, 178, 190, 356, 380, 445, 890, 1691, 1780, 3382, 6764, 8455, 16910, 33820.
What is 33820 in binary?
1000010000011100 (hexadecimal 841C, octal 102034).
What is the square root of 33820?
About 183.9021, exactly 2√8455.
Is 33820 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33820?
33820 is a happy number: repeatedly adding the squares of its digits reaches 1.