The number 74101
74101 is a twin prime (74099 and 74101 are both prime) and the 7311th prime number. Its only divisors are 1 and 74101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74101: a twin prime (74099 and 74101 are both prime); the 7311th prime number.
- 2
74101 is prime, so its only factors are 1 and 74101. It is the 7311th prime; the next prime is 74131 and the one before is 74099.
- 3
The divisors add up to 74102; without 74101 itself that is 1, so 74101 is deficient (1 is less than 74101). Euler's totient φ(74101) = 74100 numbers up to 74101 share no factor with it.
- 4
The digits of 74101 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
74101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74102 |
| Euler totient φ(n) | 74100 |
| Square | 5490958201 |
| Cube | 406885493652301 |
| Square root | 272.214989 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4101 × |
74101 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and one |
| Binary (base 2) | 10010000101110101 |
| Octal (base 8) | 220565 |
| Hexadecimal (base 16) | 12175 |
| Base 3 | 10202122111 |
| As time | 74101 seconds = 20 h 35 min 1 s |
Is 74101 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 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 74101 a prime number?
Yes. 74101 is divisible only by 1 and itself.
What are the factors of 74101?
1, 74101.
What is 74101 in binary?
10010000101110101 (hexadecimal 12175, octal 220565).
What is the square root of 74101?
About 272.2150.
Is 74101 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 74101?
74101 is a twin prime (74099 and 74101 are both prime); the 7311th prime number.