The number 33210
33210 is a composite number with 40 divisors. Its prime factorisation is 2 × × 5 × 41. Divisors (40): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 81, 82 … 33210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33210: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
33210 is composite. Its prime factorisation is
- 3
The divisors add up to 91476; without 33210 itself that is 58266, so 33210 is abundant (58266 is more than 33210). Euler's totient φ(33210) = 8640 numbers up to 33210 share no factor with it.
- 4
The digits of 33210 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33210 = 2 \times 3^{4} \times 5 \times 41 \]33210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 91476 |
| Euler totient φ(n) | 8640 |
| Square | 1102904100 |
| Cube | 36627445161000 |
| Square root | 182.236111 (= 9√410) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.321 × |
33210 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and ten |
| Binary (base 2) | 1000000110111010 |
| Octal (base 8) | 100672 |
| Hexadecimal (base 16) | 81BA |
| Base 3 | 1200120000 |
| As time | 33210 seconds = 9 h 13 min 30 s |
Is 33210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33210 ÷ 2 = 16605) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33210 ÷ 3 = 11070) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33210 ÷ 5 = 6642) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33210 ÷ 6 = 5535) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33210 ÷ 9 = 3690) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33210 ÷ 10 = 3321) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33210 a prime number?
No. 33210 = 2 × × 5 × 41, so it is divisible by 2.
What are the factors of 33210?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 81, 82, 90, 123, 135, 162, 205, 246, 270, 369, 405, 410, 615, 738, 810, 1107, 1230, 1845, 2214, 3321, 3690, 5535, 6642, 11070, 16605, 33210.
What is 33210 in binary?
1000000110111010 (hexadecimal 81BA, octal 100672).
What is the square root of 33210?
About 182.2361, exactly 9√410.
Is 33210 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 33210?
33210 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.