The number 74021
74021 is the 7303rd prime number. Its only divisors are 1 and 74021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74021: the 7303rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74021 is prime, so its only factors are 1 and 74021. It is the 7303rd prime; the next prime is 74027 and the one before is 74017.
- 3
The divisors add up to 74022; without 74021 itself that is 1, so 74021 is deficient (1 is less than 74021). Euler's totient φ(74021) = 74020 numbers up to 74021 share no factor with it.
- 4
The digits of 74021 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
74021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74022 |
| Euler totient φ(n) | 74020 |
| Square | 5479108441 |
| Cube | 405569085911261 |
| Square root | 272.068006 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4021 × |
74021 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and twenty-one |
| Binary (base 2) | 10010000100100101 |
| Octal (base 8) | 220445 |
| Hexadecimal (base 16) | 12125 |
| Base 3 | 10202112112 |
| As time | 74021 seconds = 20 h 33 min 41 s |
Is 74021 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 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74021 a prime number?
Yes. 74021 is divisible only by 1 and itself.
What are the factors of 74021?
1, 74021.
What is 74021 in binary?
10010000100100101 (hexadecimal 12125, octal 220445).
What is the square root of 74021?
About 272.0680.
Is 74021 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 74021?
74021 is the 7303rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.