The number 31051
31051 is the 3345th prime number. Its only divisors are 1 and 31051.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31051: the 3345th prime number.
- 2
31051 is prime, so its only factors are 1 and 31051. It is the 3345th prime; the next prime is 31063 and the one before is 31039.
- 3
The divisors add up to 31052; without 31051 itself that is 1, so 31051 is deficient (1 is less than 31051). Euler's totient φ(31051) = 31050 numbers up to 31051 share no factor with it.
- 4
The digits of 31051 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
31051 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31052 |
| Euler totient φ(n) | 31050 |
| Square | 964164601 |
| Cube | 29938275025651 |
| Square root | 176.212939 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1051 × |
31051 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and fifty-one |
| Binary (base 2) | 111100101001011 |
| Octal (base 8) | 74513 |
| Hexadecimal (base 16) | 794B |
| Base 3 | 1120121001 |
| As time | 31051 seconds = 8 h 37 min 31 s |
Is 31051 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 6) | 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 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 9) | 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 31051 a prime number?
Yes. 31051 is divisible only by 1 and itself.
What are the factors of 31051?
1, 31051.
What is 31051 in binary?
111100101001011 (hexadecimal 794B, octal 74513).
What is the square root of 31051?
About 176.2129.
Is 31051 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31051?
31051 is the 3345th prime number.