The number 33830
33830 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 199. Divisors (16): 1, 2, 5, 10, 17, 34, 85, 170, 199, 398, 995, 1990, 3383, 6766, 16915, 33830.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33830: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
33830 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 33830 itself that is 30970, so 33830 is deficient (30970 is less than 33830). Euler's totient φ(33830) = 12672 numbers up to 33830 share no factor with it.
- 4
The digits of 33830 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33830 = 2 \times 5 \times 17 \times 199 \]
33830 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 12672 |
| Square | 1144468900 |
| Cube | 38717382887000 |
| Square root | 183.929334 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.383 × |
33830 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and thirty |
| Binary (base 2) | 1000010000100110 |
| Octal (base 8) | 102046 |
| Hexadecimal (base 16) | 8426 |
| Base 3 | 1201101222 |
| As time | 33830 seconds = 9 h 23 min 50 s |
Is 33830 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33830 ÷ 2 = 16915) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33830 ÷ 5 = 6766) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33830 ÷ 10 = 3383) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33830 a prime number?
No. 33830 = 2 × 5 × 17 × 199, so it is divisible by 2.
What are the factors of 33830?
1, 2, 5, 10, 17, 34, 85, 170, 199, 398, 995, 1990, 3383, 6766, 16915, 33830.
What is 33830 in binary?
1000010000100110 (hexadecimal 8426, octal 102046).
What is the square root of 33830?
About 183.9293.
Is 33830 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33830?
33830 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.