The number 7322
7322 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 523. Divisors (8): 1, 2, 7, 14, 523, 1046, 3661, 7322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7322: a Harshad number: divisible by its digit sum 14.
- 2
7322 is composite. Its prime factorisation is
- 3
The divisors add up to 12576; without 7322 itself that is 5254, so 7322 is deficient (5254 is less than 7322). Euler's totient φ(7322) = 3132 numbers up to 7322 share no factor with it.
- 4
The digits of 7322 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7322 = 2 \times 7 \times 523 \]
7322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12576 |
| Euler totient φ(n) | 3132 |
| Square | 53611684 |
| Cube | 392544750248 |
| Square root | 85.568686 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.322 × |
7322 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and twenty-two |
| Binary (base 2) | 1110010011010 |
| Octal (base 8) | 16232 |
| Hexadecimal (base 16) | 1C9A |
| Base 3 | 101001012 |
| As time | 7322 seconds = 2 h 2 min 2 s |
Is 7322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7322 ÷ 2 = 3661) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7322 ÷ 7 = 1046) | 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 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7322 a prime number?
No. 7322 = 2 × 7 × 523, so it is divisible by 2.
What are the factors of 7322?
1, 2, 7, 14, 523, 1046, 3661, 7322.
What is 7322 in binary?
1110010011010 (hexadecimal 1C9A, octal 16232).
What is the square root of 7322?
About 85.5687.
Is 7322 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7322?
7322 is a Harshad number: divisible by its digit sum 14.