The number 7133
7133 is a composite number with 4 divisors. Its prime factorisation is 7 × 1019. Divisors (4): 1, 7, 1019, 7133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7133: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1019, the product of two primes.
- 2
7133 is composite. Its prime factorisation is
- 3
The divisors add up to 8160; without 7133 itself that is 1027, so 7133 is deficient (1027 is less than 7133). Euler's totient φ(7133) = 6108 numbers up to 7133 share no factor with it.
- 4
The digits of 7133 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7133 = 7 \times 1019 \]
7133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8160 |
| Euler totient φ(n) | 6108 |
| Square | 50879689 |
| Cube | 362924821637 |
| Square root | 84.457090 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 7.133 × |
7133 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and thirty-three |
| Binary (base 2) | 1101111011101 |
| Octal (base 8) | 15735 |
| Hexadecimal (base 16) | 1BDD |
| Base 3 | 100210012 |
| As time | 7133 seconds = 1 h 58 min 53 s |
Is 7133 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 3) | 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 | Yes (7133 ÷ 7 = 1019) | 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 5) | 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 3) | 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 7133 a prime number?
No. 7133 = 7 × 1019, so it is divisible by 7.
What are the factors of 7133?
1, 7, 1019, 7133.
What is 7133 in binary?
1101111011101 (hexadecimal 1BDD, octal 15735).
What is the square root of 7133?
About 84.4571.
Is 7133 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7133?
7133 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1019, the product of two primes.