The number 41387
41387 is a twin prime (41387 and 41389 are both prime) and the 4330th prime number. Its only divisors are 1 and 41387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41387: a twin prime (41387 and 41389 are both prime); the 4330th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41387 is prime, so its only factors are 1 and 41387. It is the 4330th prime; the next prime is 41389 and the one before is 41381.
- 3
The divisors add up to 41388; without 41387 itself that is 1, so 41387 is deficient (1 is less than 41387). Euler's totient φ(41387) = 41386 numbers up to 41387 share no factor with it.
- 4
The digits of 41387 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
41387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41388 |
| Euler totient φ(n) | 41386 |
| Square | 1712883769 |
| Cube | 70891120547603 |
| Square root | 203.437951 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1387 × |
41387 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and eighty-seven |
| Binary (base 2) | 1010000110101011 |
| Octal (base 8) | 120653 |
| Hexadecimal (base 16) | A1AB |
| Base 3 | 2002202212 |
| As time | 41387 seconds = 11 h 29 min 47 s |
Is 41387 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 3) | 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 5) | 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 5) | 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 41387 a prime number?
Yes. 41387 is divisible only by 1 and itself.
What are the factors of 41387?
1, 41387.
What is 41387 in binary?
1010000110101011 (hexadecimal A1AB, octal 120653).
What is the square root of 41387?
About 203.4380.
Is 41387 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 41387?
41387 is a twin prime (41387 and 41389 are both prime); the 4330th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.