The number 3210
3210 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 107. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3210: a Harshad number: divisible by its digit sum 6.
- 2
3210 is composite. Its prime factorisation is
- 3
The divisors add up to 7776; without 3210 itself that is 4566, so 3210 is abundant (4566 is more than 3210). Euler's totient φ(3210) = 848 numbers up to 3210 share no factor with it.
- 4
The digits of 3210 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3210 = 2 \times 3 \times 5 \times 107 \]
3210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7776 |
| Euler totient φ(n) | 848 |
| Square | 10304100 |
| Cube | 33076161000 |
| Square root | 56.656862 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.21 × |
3210 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and ten |
| Roman numerals | MMMCCX |
| Binary (base 2) | 110010001010 |
| Octal (base 8) | 6212 |
| Hexadecimal (base 16) | C8A |
| Base 3 | 11101220 |
| As time | 3210 seconds = 53 min 30 s |
Is 3210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3210 ÷ 2 = 1605) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3210 ÷ 3 = 1070) | 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 (3210 ÷ 5 = 642) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3210 ÷ 6 = 535) | 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 2) | 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 (3210 ÷ 10 = 321) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 3210 a prime number?
No. 3210 = 2 × 3 × 5 × 107, so it is divisible by 2.
What are the factors of 3210?
1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210.
What is 3210 in binary?
110010001010 (hexadecimal C8A, octal 6212).
What is the square root of 3210?
About 56.6569.
What is 3210 in Roman numerals?
MMMCCX.
Is 3210 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 3210?
3210 is a Harshad number: divisible by its digit sum 6.