The number 74201
74201 is a twin prime (74201 and 74203 are both prime) and the 7321st prime number. Its only divisors are 1 and 74201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74201: a twin prime (74201 and 74203 are both prime); the 7321st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74201 is prime, so its only factors are 1 and 74201. It is the 7321st prime; the next prime is 74203 and the one before is 74197.
- 3
The divisors add up to 74202; without 74201 itself that is 1, so 74201 is deficient (1 is less than 74201). Euler's totient φ(74201) = 74200 numbers up to 74201 share no factor with it.
- 4
The digits of 74201 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 156 steps to reach 1.
74201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74202 |
| Euler totient φ(n) | 74200 |
| Square | 5505788401 |
| Cube | 408535005142601 |
| Square root | 272.398605 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4201 × |
74201 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and one |
| Binary (base 2) | 10010000111011001 |
| Octal (base 8) | 220731 |
| Hexadecimal (base 16) | 121D9 |
| Base 3 | 10202210012 |
| As time | 74201 seconds = 20 h 36 min 41 s |
Is 74201 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 1) | 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 1) | 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 6) | 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 74201 a prime number?
Yes. 74201 is divisible only by 1 and itself.
What are the factors of 74201?
1, 74201.
What is 74201 in binary?
10010000111011001 (hexadecimal 121D9, octal 220731).
What is the square root of 74201?
About 272.3986.
Is 74201 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 74201?
74201 is a twin prime (74201 and 74203 are both prime); the 7321st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.