The number 3133
3133 is a composite number with 4 divisors. Its prime factorisation is 13 × 241. Divisors (4): 1, 13, 241, 3133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3133: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 241, the product of two primes.
- 2
3133 is composite. Its prime factorisation is
- 3
The divisors add up to 3388; without 3133 itself that is 255, so 3133 is deficient (255 is less than 3133). Euler's totient φ(3133) = 2880 numbers up to 3133 share no factor with it.
- 4
The digits of 3133 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3133 = 13 \times 241 \]
3133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3388 |
| Euler totient φ(n) | 2880 |
| Square | 9815689 |
| Cube | 30752553637 |
| Square root | 55.973208 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.133 × |
3133 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and thirty-three |
| Roman numerals | MMMCXXXIII |
| Binary (base 2) | 110000111101 |
| Octal (base 8) | 6075 |
| Hexadecimal (base 16) | C3D |
| Base 3 | 11022001 |
| As time | 3133 seconds = 52 min 13 s |
Is 3133 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 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 1) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3133 a prime number?
No. 3133 = 13 × 241, so it is divisible by 13.
What are the factors of 3133?
1, 13, 241, 3133.
What is 3133 in binary?
110000111101 (hexadecimal C3D, octal 6075).
What is the square root of 3133?
About 55.9732.
What is 3133 in Roman numerals?
MMMCXXXIII.
Is 3133 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3133?
3133 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 241, the product of two primes.