The number 42961
42961 is the 4491st prime number. Its only divisors are 1 and 42961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42961: the 4491st prime number.
- 2
42961 is prime, so its only factors are 1 and 42961. It is the 4491st prime; the next prime is 42967 and the one before is 42953.
- 3
The divisors add up to 42962; without 42961 itself that is 1, so 42961 is deficient (1 is less than 42961). Euler's totient φ(42961) = 42960 numbers up to 42961 share no factor with it.
- 4
The digits of 42961 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
42961 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42962 |
| Euler totient φ(n) | 42960 |
| Square | 1845647521 |
| Cube | 79290863149681 |
| Square root | 207.270355 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2961 × |
42961 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and sixty-one |
| Binary (base 2) | 1010011111010001 |
| Octal (base 8) | 123721 |
| Hexadecimal (base 16) | A7D1 |
| Base 3 | 2011221011 |
| As time | 42961 seconds = 11 h 56 min 1 s |
Is 42961 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 42961 a prime number?
Yes. 42961 is divisible only by 1 and itself.
What are the factors of 42961?
1, 42961.
What is 42961 in binary?
1010011111010001 (hexadecimal A7D1, octal 123721).
What is the square root of 42961?
About 207.2704.
Is 42961 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42961?
42961 is the 4491st prime number.