The number 72210
72210 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 29 × 83. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 83, 87, 145, 166, 174, 249 … 72210.
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How to work it out
- 1
72210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72210 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 72210 itself that is 109230, so 72210 is abundant (109230 is more than 72210). Euler's totient φ(72210) = 18368 numbers up to 72210 share no factor with it.
- 4
The digits of 72210 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72210 = 2 \times 3 \times 5 \times 29 \times 83 \]
72210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 18368 |
| Square | 5214284100 |
| Cube | 376523454861000 |
| Square root | 268.719184 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.221 × |
72210 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and ten |
| Binary (base 2) | 10001101000010010 |
| Octal (base 8) | 215022 |
| Hexadecimal (base 16) | 11A12 |
| Base 3 | 10200001110 |
| As time | 72210 seconds = 20 h 3 min 30 s |
Is 72210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72210 ÷ 2 = 36105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72210 ÷ 3 = 24070) | 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 (72210 ÷ 5 = 14442) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72210 ÷ 6 = 12035) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72210 ÷ 10 = 7221) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 72210 a prime number?
No. 72210 = 2 × 3 × 5 × 29 × 83, so it is divisible by 2.
What are the factors of 72210?
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 83, 87, 145, 166, 174, 249, 290, 415, 435, 498, 830, 870, 1245, 2407, 2490, 4814, 7221, 12035, 14442, 24070, 36105, 72210.
What is 72210 in binary?
10001101000010010 (hexadecimal 11A12, octal 215022).
What is the square root of 72210?
About 268.7192.
Is 72210 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 72210?
It is a composite number with 32 divisors.