The number 76213
76213 is the 7501st prime number. Its only divisors are 1 and 76213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76213: the 7501st prime number.
- 2
76213 is prime, so its only factors are 1 and 76213. It is the 7501st prime; the next prime is 76231 and the one before is 76207.
- 3
The divisors add up to 76214; without 76213 itself that is 1, so 76213 is deficient (1 is less than 76213). Euler's totient φ(76213) = 76212 numbers up to 76213 share no factor with it.
- 4
The digits of 76213 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 200 steps to reach 1.
76213 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76214 |
| Euler totient φ(n) | 76212 |
| Square | 5808421369 |
| Cube | 442677217795597 |
| Square root | 276.067021 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6213 × |
76213 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand two hundred and thirteen |
| Binary (base 2) | 10010100110110101 |
| Octal (base 8) | 224665 |
| Hexadecimal (base 16) | 129B5 |
| Base 3 | 10212112201 |
| As time | 76213 seconds = 21 h 10 min 13 s |
Is 76213 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76213 a prime number?
Yes. 76213 is divisible only by 1 and itself.
What are the factors of 76213?
1, 76213.
What is 76213 in binary?
10010100110110101 (hexadecimal 129B5, octal 224665).
What is the square root of 76213?
About 276.0670.
Is 76213 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 76213?
76213 is the 7501st prime number.