The number 10061
10061 is the 1234th prime number. Its only divisors are 1 and 10061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10061: the 1234th prime number.
- 2
10061 is prime, so its only factors are 1 and 10061. It is the 1234th prime; the next prime is 10067 and the one before is 10039.
- 3
The divisors add up to 10062; without 10061 itself that is 1, so 10061 is deficient (1 is less than 10061). Euler's totient φ(10061) = 10060 numbers up to 10061 share no factor with it.
- 4
The digits of 10061 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
10061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10062 |
| Euler totient φ(n) | 10060 |
| Square | 101223721 |
| Cube | 1018411856981 |
| Square root | 100.304536 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0061 × |
10061 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and sixty-one |
| Binary (base 2) | 10011101001101 |
| Octal (base 8) | 23515 |
| Hexadecimal (base 16) | 274D |
| Base 3 | 111210122 |
| As time | 10061 seconds = 2 h 47 min 41 s |
Is 10061 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10061 a prime number?
Yes. 10061 is divisible only by 1 and itself.
What are the factors of 10061?
1, 10061.
What is 10061 in binary?
10011101001101 (hexadecimal 274D, octal 23515).
What is the square root of 10061?
About 100.3045.
Is 10061 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 10061?
10061 is the 1234th prime number.