The number 33480
33480 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 31. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30 … 33480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33480: a Harshad number: divisible by its digit sum 18.
- 2
33480 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 33480 itself that is 81720, so 33480 is abundant (81720 is more than 33480). Euler's totient φ(33480) = 8640 numbers up to 33480 share no factor with it.
- 4
The digits of 33480 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33480 = 2^{3} \times 3^{3} \times 5 \times 31 \]33480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 8640 |
| Square | 1120910400 |
| Cube | 37528080192000 |
| Square root | 182.975408 (= 6√930) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.348 × |
33480 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and eighty |
| Binary (base 2) | 1000001011001000 |
| Octal (base 8) | 101310 |
| Hexadecimal (base 16) | 82C8 |
| Base 3 | 1200221000 |
| As time | 33480 seconds = 9 h 18 min 0 s |
Is 33480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33480 ÷ 2 = 16740) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33480 ÷ 3 = 11160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33480 ÷ 4 = 8370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33480 ÷ 5 = 6696) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33480 ÷ 6 = 5580) | 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 | Yes (33480 ÷ 8 = 4185) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33480 ÷ 9 = 3720) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33480 ÷ 10 = 3348) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33480 ÷ 12 = 2790) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33480 a prime number?
No. 33480 = × × 5 × 31, so it is divisible by 2.
What are the factors of 33480?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 31, 36, 40, 45, 54, 60, 62, 72, 90, 93, 108, 120, 124, 135, 155, 180, 186, 216, 248, 270, 279, 310, 360, 372, 465, 540, 558, 620, 744, 837, 930, 1080, 1116, 1240, 1395, 1674, 1860, 2232, 2790, 3348, 3720, 4185, 5580, 6696, 8370, 11160, 16740, 33480.
What is 33480 in binary?
1000001011001000 (hexadecimal 82C8, octal 101310).
What is the square root of 33480?
About 182.9754, exactly 6√930.
Is 33480 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33480?
33480 is a Harshad number: divisible by its digit sum 18.