The number 40187
40187 is a composite number with 4 divisors. Its prime factorisation is 7 × 5741. Divisors (4): 1, 7, 5741, 40187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40187: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5741, the product of two primes.
- 2
40187 is composite. Its prime factorisation is
- 3
The divisors add up to 45936; without 40187 itself that is 5749, so 40187 is deficient (5749 is less than 40187). Euler's totient φ(40187) = 34440 numbers up to 40187 share no factor with it.
- 4
The digits of 40187 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40187 = 7 \times 5741 \]
40187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 45936 |
| Euler totient φ(n) | 34440 |
| Square | 1614994969 |
| Cube | 64901802819203 |
| Square root | 200.466955 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0187 × |
40187 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and eighty-seven |
| Binary (base 2) | 1001110011111011 |
| Octal (base 8) | 116373 |
| Hexadecimal (base 16) | 9CFB |
| Base 3 | 2001010102 |
| As time | 40187 seconds = 11 h 9 min 47 s |
Is 40187 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 | Yes (40187 ÷ 7 = 5741) | 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 4) | 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 40187 a prime number?
No. 40187 = 7 × 5741, so it is divisible by 7.
What are the factors of 40187?
1, 7, 5741, 40187.
What is 40187 in binary?
1001110011111011 (hexadecimal 9CFB, octal 116373).
What is the square root of 40187?
About 200.4670.
Is 40187 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40187?
40187 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5741, the product of two primes.