The number 33930
33930 is a triangular number: 1 + 2 + … + 260 = 33930. Its prime factorisation is 2 × × 5 × 13 × 29. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 29, 30, 39, 45, 58 … 33930.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33930: a triangular number: 1 + 2 + … + 260 = 33930; a Harshad number: divisible by its digit sum 18.
- 2
33930 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 33930 itself that is 64350, so 33930 is abundant (64350 is more than 33930). Euler's totient φ(33930) = 8064 numbers up to 33930 share no factor with it.
- 4
The digits of 33930 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33930 = 2 \times 3^{2} \times 5 \times 13 \times 29 \]33930 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 8064 |
| Square | 1151244900 |
| Cube | 39061739457000 |
| Square root | 184.200977 (= 3√3770) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.393 × |
33930 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and thirty |
| Binary (base 2) | 1000010010001010 |
| Octal (base 8) | 102212 |
| Hexadecimal (base 16) | 848A |
| Base 3 | 1201112200 |
| As time | 33930 seconds = 9 h 25 min 30 s |
Is 33930 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33930 ÷ 2 = 16965) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33930 ÷ 3 = 11310) | 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 (33930 ÷ 5 = 6786) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33930 ÷ 6 = 5655) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33930 ÷ 9 = 3770) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33930 ÷ 10 = 3393) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33930 a prime number?
No. 33930 = 2 × × 5 × 13 × 29, so it is divisible by 2.
What are the factors of 33930?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 29, 30, 39, 45, 58, 65, 78, 87, 90, 117, 130, 145, 174, 195, 234, 261, 290, 377, 390, 435, 522, 585, 754, 870, 1131, 1170, 1305, 1885, 2262, 2610, 3393, 3770, 5655, 6786, 11310, 16965, 33930.
What is 33930 in binary?
1000010010001010 (hexadecimal 848A, octal 102212).
What is the square root of 33930?
About 184.2010, exactly 3√3770.
Is 33930 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33930?
33930 is a triangular number: 1 + 2 + … + 260 = 33930; a Harshad number: divisible by its digit sum 18.