The number 72322
72322 is a composite number with 4 divisors. Its prime factorisation is 2 × 36161. Divisors (4): 1, 2, 36161, 72322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72322: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36161, the product of two primes.
- 2
72322 is composite. Its prime factorisation is
- 3
The divisors add up to 108486; without 72322 itself that is 36164, so 72322 is deficient (36164 is less than 72322). Euler's totient φ(72322) = 36160 numbers up to 72322 share no factor with it.
- 4
The digits of 72322 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72322 = 2 \times 36161 \]
72322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 108486 |
| Euler totient φ(n) | 36160 |
| Square | 5230471684 |
| Cube | 378278173130248 |
| Square root | 268.927500 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2322 × |
72322 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and twenty-two |
| Binary (base 2) | 10001101010000010 |
| Octal (base 8) | 215202 |
| Hexadecimal (base 16) | 11A82 |
| Base 3 | 10200012121 |
| As time | 72322 seconds = 20 h 5 min 22 s |
Is 72322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72322 ÷ 2 = 36161) | 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 | No (remainder 2) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 72322 a prime number?
No. 72322 = 2 × 36161, so it is divisible by 2.
What are the factors of 72322?
1, 2, 36161, 72322.
What is 72322 in binary?
10001101010000010 (hexadecimal 11A82, octal 215202).
What is the square root of 72322?
About 268.9275.
Is 72322 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72322?
72322 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 36161, the product of two primes.