The number 2971
2971 is a twin prime (2969 and 2971 are both prime) and the 429th prime number. Its only divisors are 1 and 2971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2971: a twin prime (2969 and 2971 are both prime); the 429th prime number.
- 2
2971 is prime, so its only factors are 1 and 2971. It is the 429th prime; the next prime is 2999 and the one before is 2969.
- 3
The divisors add up to 2972; without 2971 itself that is 1, so 2971 is deficient (1 is less than 2971). Euler's totient φ(2971) = 2970 numbers up to 2971 share no factor with it.
- 4
The digits of 2971 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 48 steps to reach 1.
2971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2972 |
| Euler totient φ(n) | 2970 |
| Square | 8826841 |
| Cube | 26224544611 |
| Square root | 54.506880 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.971 × |
2971 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and seventy-one |
| Roman numerals | MMCMLXXI |
| Binary (base 2) | 101110011011 |
| Octal (base 8) | 5633 |
| Hexadecimal (base 16) | B9B |
| Base 3 | 11002001 |
| As time | 2971 seconds = 49 min 31 s |
Is 2971 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 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 1) | 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 2971 a prime number?
Yes. 2971 is divisible only by 1 and itself.
What are the factors of 2971?
1, 2971.
What is 2971 in binary?
101110011011 (hexadecimal B9B, octal 5633).
What is the square root of 2971?
About 54.5069.
What is 2971 in Roman numerals?
MMCMLXXI.
Is 2971 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2971?
2971 is a twin prime (2969 and 2971 are both prime); the 429th prime number.