The number 73210
73210 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 7321. Divisors (8): 1, 2, 5, 10, 7321, 14642, 36605, 73210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73210 is composite. Its prime factorisation is
- 3
The divisors add up to 131796; without 73210 itself that is 58586, so 73210 is deficient (58586 is less than 73210). Euler's totient φ(73210) = 29280 numbers up to 73210 share no factor with it.
- 4
The digits of 73210 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73210 = 2 \times 5 \times 7321 \]
73210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 131796 |
| Euler totient φ(n) | 29280 |
| Square | 5359704100 |
| Cube | 392383937161000 |
| Square root | 270.573465 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.321 × |
73210 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and ten |
| Binary (base 2) | 10001110111111010 |
| Octal (base 8) | 216772 |
| Hexadecimal (base 16) | 11DFA |
| Base 3 | 10201102111 |
| As time | 73210 seconds = 20 h 20 min 10 s |
Is 73210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73210 ÷ 2 = 36605) | 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 (73210 ÷ 5 = 14642) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73210 ÷ 10 = 7321) | 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 73210 a prime number?
No. 73210 = 2 × 5 × 7321, so it is divisible by 2.
What are the factors of 73210?
1, 2, 5, 10, 7321, 14642, 36605, 73210.
What is 73210 in binary?
10001110111111010 (hexadecimal 11DFA, octal 216772).
What is the square root of 73210?
About 270.5735.
Is 73210 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 73210?
It is a composite number with 8 divisors.