The number 59971
59971 is the 6055th prime number. Its only divisors are 1 and 59971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59971: the 6055th prime number.
- 2
59971 is prime, so its only factors are 1 and 59971. It is the 6055th prime; the next prime is 59981 and the one before is 59957.
- 3
The divisors add up to 59972; without 59971 itself that is 1, so 59971 is deficient (1 is less than 59971). Euler's totient φ(59971) = 59970 numbers up to 59971 share no factor with it.
- 4
The digits of 59971 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
59971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59972 |
| Euler totient φ(n) | 59970 |
| Square | 3596520841 |
| Cube | 215686951355611 |
| Square root | 244.889771 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9971 × |
59971 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and seventy-one |
| Binary (base 2) | 1110101001000011 |
| Octal (base 8) | 165103 |
| Hexadecimal (base 16) | EA43 |
| Base 3 | 10001021011 |
| As time | 59971 seconds = 16 h 39 min 31 s |
Is 59971 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 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 3) | 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 10) | 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 59971 a prime number?
Yes. 59971 is divisible only by 1 and itself.
What are the factors of 59971?
1, 59971.
What is 59971 in binary?
1110101001000011 (hexadecimal EA43, octal 165103).
What is the square root of 59971?
About 244.8898.
Is 59971 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 59971?
59971 is the 6055th prime number.