The number 33380
33380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1669. Divisors (12): 1, 2, 4, 5, 10, 20, 1669, 3338, 6676, 8345, 16690, 33380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33380: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33380 is composite. Its prime factorisation is
- 3
The divisors add up to 70140; without 33380 itself that is 36760, so 33380 is abundant (36760 is more than 33380). Euler's totient φ(33380) = 13344 numbers up to 33380 share no factor with it.
- 4
The digits of 33380 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33380 = 2^{2} \times 5 \times 1669 \]33380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70140 |
| Euler totient φ(n) | 13344 |
| Square | 1114224400 |
| Cube | 37192810472000 |
| Square root | 182.701943 (= 2√8345) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.338 × |
33380 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and eighty |
| Binary (base 2) | 1000001001100100 |
| Octal (base 8) | 101144 |
| Hexadecimal (base 16) | 8264 |
| Base 3 | 1200210022 |
| As time | 33380 seconds = 9 h 16 min 20 s |
Is 33380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33380 ÷ 2 = 16690) | 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 (33380 ÷ 4 = 8345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33380 ÷ 5 = 6676) | 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 | No (remainder 4) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33380 ÷ 10 = 3338) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 33380 a prime number?
No. 33380 = × 5 × 1669, so it is divisible by 2.
What are the factors of 33380?
1, 2, 4, 5, 10, 20, 1669, 3338, 6676, 8345, 16690, 33380.
What is 33380 in binary?
1000001001100100 (hexadecimal 8264, octal 101144).
What is the square root of 33380?
About 182.7019, exactly 2√8345.
Is 33380 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33380?
33380 is a happy number: repeatedly adding the squares of its digits reaches 1.