The number 33720
33720 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 281. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 33720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33720: a Harshad number: divisible by its digit sum 15.
- 2
33720 is composite. Its prime factorisation is
- 3
The divisors add up to 101520; without 33720 itself that is 67800, so 33720 is abundant (67800 is more than 33720). Euler's totient φ(33720) = 8960 numbers up to 33720 share no factor with it.
- 4
The digits of 33720 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33720 = 2^{3} \times 3 \times 5 \times 281 \]33720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 101520 |
| Euler totient φ(n) | 8960 |
| Square | 1137038400 |
| Cube | 38340934848000 |
| Square root | 183.630063 (= 2√8430) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.372 × |
33720 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and twenty |
| Binary (base 2) | 1000001110111000 |
| Octal (base 8) | 101670 |
| Hexadecimal (base 16) | 83B8 |
| Base 3 | 1201020220 |
| As time | 33720 seconds = 9 h 22 min 0 s |
Is 33720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33720 ÷ 2 = 16860) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33720 ÷ 3 = 11240) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33720 ÷ 4 = 8430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33720 ÷ 5 = 6744) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33720 ÷ 6 = 5620) | 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 | Yes (33720 ÷ 8 = 4215) | 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 (33720 ÷ 10 = 3372) | 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 | Yes (33720 ÷ 12 = 2810) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33720 a prime number?
No. 33720 = × 3 × 5 × 281, so it is divisible by 2.
What are the factors of 33720?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 281, 562, 843, 1124, 1405, 1686, 2248, 2810, 3372, 4215, 5620, 6744, 8430, 11240, 16860, 33720.
What is 33720 in binary?
1000001110111000 (hexadecimal 83B8, octal 101670).
What is the square root of 33720?
About 183.6301, exactly 2√8430.
Is 33720 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33720?
33720 is a Harshad number: divisible by its digit sum 15.