The number 33360
33360 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 139. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 33360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33360: a Harshad number: divisible by its digit sum 15.
- 2
33360 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 33360 itself that is 70800, so 33360 is abundant (70800 is more than 33360). Euler's totient φ(33360) = 8832 numbers up to 33360 share no factor with it.
- 4
The digits of 33360 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33360 = 2^{4} \times 3 \times 5 \times 139 \]33360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 8832 |
| Square | 1112889600 |
| Cube | 37125997056000 |
| Square root | 182.647201 (= 4√2085) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.336 × |
33360 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and sixty |
| Binary (base 2) | 1000001001010000 |
| Octal (base 8) | 101120 |
| Hexadecimal (base 16) | 8250 |
| Base 3 | 1200202120 |
| As time | 33360 seconds = 9 h 16 min 0 s |
Is 33360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33360 ÷ 2 = 16680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33360 ÷ 3 = 11120) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33360 ÷ 4 = 8340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33360 ÷ 5 = 6672) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33360 ÷ 6 = 5560) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (33360 ÷ 8 = 4170) | 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 (33360 ÷ 10 = 3336) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33360 ÷ 12 = 2780) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33360 a prime number?
No. 33360 = × 3 × 5 × 139, so it is divisible by 2.
What are the factors of 33360?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 139, 240, 278, 417, 556, 695, 834, 1112, 1390, 1668, 2085, 2224, 2780, 3336, 4170, 5560, 6672, 8340, 11120, 16680, 33360.
What is 33360 in binary?
1000001001010000 (hexadecimal 8250, octal 101120).
What is the square root of 33360?
About 182.6472, exactly 4√2085.
Is 33360 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33360?
33360 is a Harshad number: divisible by its digit sum 15.