The number 7363
7363 is a composite number with 4 divisors. Its prime factorisation is 37 × 199. Divisors (4): 1, 37, 199, 7363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7363: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 199, the product of two primes.
- 2
7363 is composite. Its prime factorisation is
- 3
The divisors add up to 7600; without 7363 itself that is 237, so 7363 is deficient (237 is less than 7363). Euler's totient φ(7363) = 7128 numbers up to 7363 share no factor with it.
- 4
The digits of 7363 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7363 = 37 \times 199 \]
7363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7600 |
| Euler totient φ(n) | 7128 |
| Square | 54213769 |
| Cube | 399175981147 |
| Square root | 85.807925 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.363 × |
7363 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and sixty-three |
| Binary (base 2) | 1110011000011 |
| Octal (base 8) | 16303 |
| Hexadecimal (base 16) | 1CC3 |
| Base 3 | 101002201 |
| As time | 7363 seconds = 2 h 2 min 43 s |
Is 7363 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7363 a prime number?
No. 7363 = 37 × 199, so it is divisible by 37.
What are the factors of 7363?
1, 37, 199, 7363.
What is 7363 in binary?
1110011000011 (hexadecimal 1CC3, octal 16303).
What is the square root of 7363?
About 85.8079.
Is 7363 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7363?
7363 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 199, the product of two primes.