The number 5133
5133 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 59. Divisors (8): 1, 3, 29, 59, 87, 177, 1711, 5133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5133: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5133 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 5133 itself that is 2067, so 5133 is deficient (2067 is less than 5133). Euler's totient φ(5133) = 3248 numbers up to 5133 share no factor with it.
- 4
The digits of 5133 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5133 = 3 \times 29 \times 59 \]
5133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7200 |
| Euler totient φ(n) | 3248 |
| Square | 26347689 |
| Cube | 135242687637 |
| Square root | 71.644958 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.133 × |
5133 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and thirty-three |
| Binary (base 2) | 1010000001101 |
| Octal (base 8) | 12015 |
| Hexadecimal (base 16) | 140D |
| Base 3 | 21001010 |
| As time | 5133 seconds = 1 h 25 min 33 s |
Is 5133 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 | Yes (5133 ÷ 3 = 1711) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5133 a prime number?
No. 5133 = 3 × 29 × 59, so it is divisible by 3.
What are the factors of 5133?
1, 3, 29, 59, 87, 177, 1711, 5133.
What is 5133 in binary?
1010000001101 (hexadecimal 140D, octal 12015).
What is the square root of 5133?
About 71.6450.
Is 5133 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5133?
5133 is a happy number: repeatedly adding the squares of its digits reaches 1.