The number 40961
40961 is the 4289th prime number. Its only divisors are 1 and 40961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40961: the 4289th prime number.
- 2
40961 is prime, so its only factors are 1 and 40961. It is the 4289th prime; the next prime is 40973 and the one before is 40949.
- 3
The divisors add up to 40962; without 40961 itself that is 1, so 40961 is deficient (1 is less than 40961). Euler's totient φ(40961) = 40960 numbers up to 40961 share no factor with it.
- 4
The digits of 40961 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 181 steps to reach 1.
40961 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40962 |
| Euler totient φ(n) | 40960 |
| Square | 1677803521 |
| Cube | 68724510023681 |
| Square root | 202.388241 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0961 × |
40961 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and sixty-one |
| Binary (base 2) | 1010000000000001 |
| Octal (base 8) | 120001 |
| Hexadecimal (base 16) | A001 |
| Base 3 | 2002012002 |
| As time | 40961 seconds = 11 h 22 min 41 s |
Is 40961 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 4) | 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 2) | 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 8) | 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 40961 a prime number?
Yes. 40961 is divisible only by 1 and itself.
What are the factors of 40961?
1, 40961.
What is 40961 in binary?
1010000000000001 (hexadecimal A001, octal 120001).
What is the square root of 40961?
About 202.3882.
Is 40961 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40961?
40961 is the 4289th prime number.