The number 72209
72209 is a composite number with 4 divisors. Its prime factorisation is 163 × 443. Divisors (4): 1, 163, 443, 72209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72209: a semiprime: 163 × 443, the product of two primes.
- 2
72209 is composite. Its prime factorisation is
- 3
The divisors add up to 72816; without 72209 itself that is 607, so 72209 is deficient (607 is less than 72209). Euler's totient φ(72209) = 71604 numbers up to 72209 share no factor with it.
- 4
The digits of 72209 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72209 = 163 \times 443 \]
72209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 72816 |
| Euler totient φ(n) | 71604 |
| Square | 5214139681 |
| Cube | 376507812225329 |
| Square root | 268.717324 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.2209 × |
72209 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and nine |
| Binary (base 2) | 10001101000010001 |
| Octal (base 8) | 215021 |
| Hexadecimal (base 16) | 11A11 |
| Base 3 | 10200001102 |
| As time | 72209 seconds = 20 h 3 min 29 s |
Is 72209 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72209 a prime number?
No. 72209 = 163 × 443, so it is divisible by 163.
What are the factors of 72209?
1, 163, 443, 72209.
What is 72209 in binary?
10001101000010001 (hexadecimal 11A11, octal 215021).
What is the square root of 72209?
About 268.7173.
Is 72209 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72209?
72209 is a semiprime: 163 × 443, the product of two primes.