The number 4187
4187 is a composite number with 4 divisors. Its prime factorisation is 53 × 79. Divisors (4): 1, 53, 79, 4187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4187: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 79, the product of two primes.
- 2
4187 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 4187 itself that is 133, so 4187 is deficient (133 is less than 4187). Euler's totient φ(4187) = 4056 numbers up to 4187 share no factor with it.
- 4
The digits of 4187 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4187 = 53 \times 79 \]
4187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 4056 |
| Square | 17530969 |
| Cube | 73402167203 |
| Square root | 64.707032 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.187 × |
4187 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and eighty-seven |
| Binary (base 2) | 1000001011011 |
| Octal (base 8) | 10133 |
| Hexadecimal (base 16) | 105B |
| Base 3 | 12202002 |
| As time | 4187 seconds = 1 h 9 min 47 s |
Is 4187 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4187 a prime number?
No. 4187 = 53 × 79, so it is divisible by 53.
What are the factors of 4187?
1, 53, 79, 4187.
What is 4187 in binary?
1000001011011 (hexadecimal 105B, octal 10133).
What is the square root of 4187?
About 64.7070.
Is 4187 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4187?
4187 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 53 × 79, the product of two primes.