The number 7210
7210 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 103. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7210: a Harshad number: divisible by its digit sum 10.
- 2
7210 is composite. Its prime factorisation is
- 3
The divisors add up to 14976; without 7210 itself that is 7766, so 7210 is abundant (7766 is more than 7210). Euler's totient φ(7210) = 2448 numbers up to 7210 share no factor with it.
- 4
The digits of 7210 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7210 = 2 \times 5 \times 7 \times 103 \]
7210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14976 |
| Euler totient φ(n) | 2448 |
| Square | 51984100 |
| Cube | 374805361000 |
| Square root | 84.911719 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.21 × |
7210 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and ten |
| Binary (base 2) | 1110000101010 |
| Octal (base 8) | 16052 |
| Hexadecimal (base 16) | 1C2A |
| Base 3 | 100220001 |
| As time | 7210 seconds = 2 h 0 min 10 s |
Is 7210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7210 ÷ 2 = 3605) | 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 (7210 ÷ 5 = 1442) | 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 | Yes (7210 ÷ 7 = 1030) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7210 ÷ 10 = 721) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 7210 a prime number?
No. 7210 = 2 × 5 × 7 × 103, so it is divisible by 2.
What are the factors of 7210?
1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210.
What is 7210 in binary?
1110000101010 (hexadecimal 1C2A, octal 16052).
What is the square root of 7210?
About 84.9117.
Is 7210 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 7210?
7210 is a Harshad number: divisible by its digit sum 10.