The number 61471
61471 is a twin prime (61469 and 61471 are both prime) and the 6183rd prime number. Its only divisors are 1 and 61471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61471: a twin prime (61469 and 61471 are both prime); the 6183rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61471 is prime, so its only factors are 1 and 61471. It is the 6183rd prime; the next prime is 61483 and the one before is 61469.
- 3
The divisors add up to 61472; without 61471 itself that is 1, so 61471 is deficient (1 is less than 61471). Euler's totient φ(61471) = 61470 numbers up to 61471 share no factor with it.
- 4
The digits of 61471 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
61471 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61472 |
| Euler totient φ(n) | 61470 |
| Square | 3778683841 |
| Cube | 232279474390111 |
| Square root | 247.933459 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1471 × |
61471 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and seventy-one |
| Binary (base 2) | 1111000000011111 |
| Octal (base 8) | 170037 |
| Hexadecimal (base 16) | F01F |
| Base 3 | 10010022201 |
| As time | 61471 seconds = 17 h 4 min 31 s |
Is 61471 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 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61471 a prime number?
Yes. 61471 is divisible only by 1 and itself.
What are the factors of 61471?
1, 61471.
What is 61471 in binary?
1111000000011111 (hexadecimal F01F, octal 170037).
What is the square root of 61471?
About 247.9335.
Is 61471 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 61471?
61471 is a twin prime (61469 and 61471 are both prime); the 6183rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.