The number 33320
33320 is a composite number with 48 divisors. Its prime factorisation is × 5 × × 17. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 49, 56 … 33320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33320: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33320 is composite. Its prime factorisation is
- 3
The divisors add up to 92340; without 33320 itself that is 59020, so 33320 is abundant (59020 is more than 33320). Euler's totient φ(33320) = 10752 numbers up to 33320 share no factor with it.
- 4
The digits of 33320 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33320 = 2^{3} \times 5 \times 7^{2} \times 17 \]33320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 92340 |
| Euler totient φ(n) | 10752 |
| Square | 1110222400 |
| Cube | 36992610368000 |
| Square root | 182.537667 (= 14√170) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.332 × |
33320 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and twenty |
| Binary (base 2) | 1000001000101000 |
| Octal (base 8) | 101050 |
| Hexadecimal (base 16) | 8228 |
| Base 3 | 1200201002 |
| As time | 33320 seconds = 9 h 15 min 20 s |
Is 33320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33320 ÷ 2 = 16660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33320 ÷ 4 = 8330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33320 ÷ 5 = 6664) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33320 ÷ 7 = 4760) | 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 (33320 ÷ 8 = 4165) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33320 ÷ 10 = 3332) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33320 a prime number?
No. 33320 = × 5 × × 17, so it is divisible by 2.
What are the factors of 33320?
1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 49, 56, 68, 70, 85, 98, 119, 136, 140, 170, 196, 238, 245, 280, 340, 392, 476, 490, 595, 680, 833, 952, 980, 1190, 1666, 1960, 2380, 3332, 4165, 4760, 6664, 8330, 16660, 33320.
What is 33320 in binary?
1000001000101000 (hexadecimal 8228, octal 101050).
What is the square root of 33320?
About 182.5377, exactly 14√170.
Is 33320 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33320?
33320 is a happy number: repeatedly adding the squares of its digits reaches 1.