The number 61441
61441 is the 6180th prime number. Its only divisors are 1 and 61441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61441: the 6180th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61441 is prime, so its only factors are 1 and 61441. It is the 6180th prime; the next prime is 61463 and the one before is 61417.
- 3
The divisors add up to 61442; without 61441 itself that is 1, so 61441 is deficient (1 is less than 61441). Euler's totient φ(61441) = 61440 numbers up to 61441 share no factor with it.
- 4
The digits of 61441 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
61441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61442 |
| Euler totient φ(n) | 61440 |
| Square | 3774996481 |
| Cube | 231939558789121 |
| Square root | 247.872951 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1441 × |
61441 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and forty-one |
| Binary (base 2) | 1111000000000001 |
| Octal (base 8) | 170001 |
| Hexadecimal (base 16) | F001 |
| Base 3 | 10010021121 |
| As time | 61441 seconds = 17 h 4 min 1 s |
Is 61441 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 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 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 61441 a prime number?
Yes. 61441 is divisible only by 1 and itself.
What are the factors of 61441?
1, 61441.
What is 61441 in binary?
1111000000000001 (hexadecimal F001, octal 170001).
What is the square root of 61441?
About 247.8730.
Is 61441 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 61441?
61441 is the 6180th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.