The number 59671
59671 is a twin prime (59669 and 59671 are both prime) and the 6033rd prime number. Its only divisors are 1 and 59671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59671: a twin prime (59669 and 59671 are both prime); the 6033rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59671 is prime, so its only factors are 1 and 59671. It is the 6033rd prime; the next prime is 59693 and the one before is 59669.
- 3
The divisors add up to 59672; without 59671 itself that is 1, so 59671 is deficient (1 is less than 59671). Euler's totient φ(59671) = 59670 numbers up to 59671 share no factor with it.
- 4
The digits of 59671 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
59671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59672 |
| Euler totient φ(n) | 59670 |
| Square | 3560628241 |
| Cube | 212466247768711 |
| Square root | 244.276483 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9671 × |
59671 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand six hundred and seventy-one |
| Binary (base 2) | 1110100100010111 |
| Octal (base 8) | 164427 |
| Hexadecimal (base 16) | E917 |
| Base 3 | 10000212001 |
| As time | 59671 seconds = 16 h 34 min 31 s |
Is 59671 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 3) | 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 7) | 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 59671 a prime number?
Yes. 59671 is divisible only by 1 and itself.
What are the factors of 59671?
1, 59671.
What is 59671 in binary?
1110100100010111 (hexadecimal E917, octal 164427).
What is the square root of 59671?
About 244.2765.
Is 59671 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59671?
59671 is a twin prime (59669 and 59671 are both prime); the 6033rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.