The number 33180
33180 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 7 × 79. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 33180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33180: a Harshad number: divisible by its digit sum 15.
- 2
33180 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 33180 itself that is 74340, so 33180 is abundant (74340 is more than 33180). Euler's totient φ(33180) = 7488 numbers up to 33180 share no factor with it.
- 4
The digits of 33180 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33180 = 2^{2} \times 3 \times 5 \times 7 \times 79 \]33180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 7488 |
| Square | 1100912400 |
| Cube | 36528273432000 |
| Square root | 182.153781 (= 2√8295) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.318 × |
33180 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and eighty |
| Binary (base 2) | 1000000110011100 |
| Octal (base 8) | 100634 |
| Hexadecimal (base 16) | 819C |
| Base 3 | 1200111220 |
| As time | 33180 seconds = 9 h 13 min 0 s |
Is 33180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33180 ÷ 2 = 16590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33180 ÷ 3 = 11060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33180 ÷ 4 = 8295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33180 ÷ 5 = 6636) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33180 ÷ 6 = 5530) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33180 ÷ 7 = 4740) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33180 ÷ 10 = 3318) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33180 ÷ 12 = 2765) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33180 a prime number?
No. 33180 = × 3 × 5 × 7 × 79, so it is divisible by 2.
What are the factors of 33180?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 79, 84, 105, 140, 158, 210, 237, 316, 395, 420, 474, 553, 790, 948, 1106, 1185, 1580, 1659, 2212, 2370, 2765, 3318, 4740, 5530, 6636, 8295, 11060, 16590, 33180.
What is 33180 in binary?
1000000110011100 (hexadecimal 819C, octal 100634).
What is the square root of 33180?
About 182.1538, exactly 2√8295.
Is 33180 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33180?
33180 is a Harshad number: divisible by its digit sum 15.