The number 10141
10141 is a twin prime (10139 and 10141 are both prime) and the 1245th prime number. Its only divisors are 1 and 10141.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10141: a twin prime (10139 and 10141 are both prime); the 1245th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10141 is prime, so its only factors are 1 and 10141. It is the 1245th prime; the next prime is 10151 and the one before is 10139.
- 3
The divisors add up to 10142; without 10141 itself that is 1, so 10141 is deficient (1 is less than 10141). Euler's totient φ(10141) = 10140 numbers up to 10141 share no factor with it.
- 4
The digits of 10141 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
10141 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10142 |
| Euler totient φ(n) | 10140 |
| Square | 102839881 |
| Cube | 1042899233221 |
| Square root | 100.702532 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0141 × |
10141 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and forty-one |
| Binary (base 2) | 10011110011101 |
| Octal (base 8) | 23635 |
| Hexadecimal (base 16) | 279D |
| Base 3 | 111220121 |
| As time | 10141 seconds = 2 h 49 min 1 s |
Is 10141 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10141 a prime number?
Yes. 10141 is divisible only by 1 and itself.
What are the factors of 10141?
1, 10141.
What is 10141 in binary?
10011110011101 (hexadecimal 279D, octal 23635).
What is the square root of 10141?
About 100.7025.
Is 10141 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10141?
10141 is a twin prime (10139 and 10141 are both prime); the 1245th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.