The number 7361
7361 is a composite number with 4 divisors. Its prime factorisation is 17 × 433. Divisors (4): 1, 17, 433, 7361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7361: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 433, the product of two primes.
- 2
7361 is composite. Its prime factorisation is
- 3
The divisors add up to 7812; without 7361 itself that is 451, so 7361 is deficient (451 is less than 7361). Euler's totient φ(7361) = 6912 numbers up to 7361 share no factor with it.
- 4
The digits of 7361 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7361 = 17 \times 433 \]
7361 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7812 |
| Euler totient φ(n) | 6912 |
| Square | 54184321 |
| Cube | 398850786881 |
| Square root | 85.796270 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.361 × |
7361 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and sixty-one |
| Binary (base 2) | 1110011000001 |
| Octal (base 8) | 16301 |
| Hexadecimal (base 16) | 1CC1 |
| Base 3 | 101002122 |
| As time | 7361 seconds = 2 h 2 min 41 s |
Is 7361 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 7361 a prime number?
No. 7361 = 17 × 433, so it is divisible by 17.
What are the factors of 7361?
1, 17, 433, 7361.
What is 7361 in binary?
1110011000001 (hexadecimal 1CC1, octal 16301).
What is the square root of 7361?
About 85.7963.
Is 7361 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7361?
7361 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 433, the product of two primes.