The number 187
187 is a composite number with 4 divisors. Its prime factorisation is 11 × 17. Divisors (4): 1, 11, 17, 187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 187: a semiprime: 11 × 17, the product of two primes.
- 2
187 is composite. Its prime factorisation is
- 3
The divisors add up to 216; without 187 itself that is 29, so 187 is deficient (29 is less than 187). Euler's totient φ(187) = 160 numbers up to 187 share no factor with it.
- 4
The digits of 187 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 187 = 11 \times 17 \]
187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 216 |
| Euler totient φ(n) | 160 |
| Square | 34969 |
| Cube | 6539203 |
| Square root | 13.674794 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.87 × |
187 in other forms
| Form | Value |
|---|---|
| In words | one hundred and eighty-seven |
| Roman numerals | CLXXXVII |
| Binary (base 2) | 10111011 |
| Octal (base 8) | 273 |
| Hexadecimal (base 16) | BB |
| Base 3 | 20221 |
| As time | 187 seconds = 3 min 7 s |
Is 187 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 | Yes (187 ÷ 11 = 17) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 187 a prime number?
No. 187 = 11 × 17, so it is divisible by 11.
What are the factors of 187?
1, 11, 17, 187.
What is 187 in binary?
10111011 (hexadecimal BB, octal 273).
What is the square root of 187?
About 13.6748.
What is 187 in Roman numerals?
CLXXXVII.
Is 187 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 187?
187 is a semiprime: 11 × 17, the product of two primes.