The number 1210
1210 is a composite number with 12 divisors. Its prime factorisation is 2 × 5 × . Divisors (12): 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1210 is composite. Its prime factorisation is
- 3
The divisors add up to 2394; without 1210 itself that is 1184, so 1210 is deficient (1184 is less than 1210). Euler's totient φ(1210) = 440 numbers up to 1210 share no factor with it.
- 4
The digits of 1210 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1210 = 2 \times 5 \times 11^{2} \]1210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2394 |
| Euler totient φ(n) | 440 |
| Square | 1464100 |
| Cube | 1771561000 |
| Square root | 34.785054 (= 11√10) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.21 × |
1210 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and ten |
| Roman numerals | MCCX |
| Binary (base 2) | 10010111010 |
| Octal (base 8) | 2272 |
| Hexadecimal (base 16) | 4BA |
| Base 3 | 1122211 |
| As time | 1210 seconds = 20 min 10 s |
Is 1210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1210 ÷ 2 = 605) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (1210 ÷ 5 = 242) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1210 ÷ 10 = 121) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1210 ÷ 11 = 110) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1210 a prime number?
No. 1210 = 2 × 5 × , so it is divisible by 2.
What are the factors of 1210?
1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210.
What is 1210 in binary?
10010111010 (hexadecimal 4BA, octal 2272).
What is the square root of 1210?
About 34.7851, exactly 11√10.
What is 1210 in Roman numerals?
MCCX.
Is 1210 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 1210?
It is a composite number with 12 divisors.