The number 5187
5187 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 19. Divisors (16): 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5187: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
5187 is composite. Its prime factorisation is
- 3
The divisors add up to 8960; without 5187 itself that is 3773, so 5187 is deficient (3773 is less than 5187). Euler's totient φ(5187) = 2592 numbers up to 5187 share no factor with it.
- 4
The digits of 5187 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5187 = 3 \times 7 \times 13 \times 19 \]
5187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8960 |
| Euler totient φ(n) | 2592 |
| Square | 26904969 |
| Cube | 139556074203 |
| Square root | 72.020830 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.187 × |
5187 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and eighty-seven |
| Binary (base 2) | 1010001000011 |
| Octal (base 8) | 12103 |
| Hexadecimal (base 16) | 1443 |
| Base 3 | 21010010 |
| As time | 5187 seconds = 1 h 26 min 27 s |
Is 5187 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 (5187 ÷ 3 = 1729) | 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 2) | 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 | Yes (5187 ÷ 7 = 741) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5187 a prime number?
No. 5187 = 3 × 7 × 13 × 19, so it is divisible by 3.
What are the factors of 5187?
1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187.
What is 5187 in binary?
1010001000011 (hexadecimal 1443, octal 12103).
What is the square root of 5187?
About 72.0208.
Is 5187 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5187?
5187 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.