The number 74381
74381 is a twin prime (74381 and 74383 are both prime) and the 7338th prime number. Its only divisors are 1 and 74381.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74381: a twin prime (74381 and 74383 are both prime); the 7338th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74381 is prime, so its only factors are 1 and 74381. It is the 7338th prime; the next prime is 74383 and the one before is 74377.
- 3
The divisors add up to 74382; without 74381 itself that is 1, so 74381 is deficient (1 is less than 74381). Euler's totient φ(74381) = 74380 numbers up to 74381 share no factor with it.
- 4
The digits of 74381 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
74381 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74382 |
| Euler totient φ(n) | 74380 |
| Square | 5532533161 |
| Cube | 411515349048341 |
| Square root | 272.728803 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4381 × |
74381 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and eighty-one |
| Binary (base 2) | 10010001010001101 |
| Octal (base 8) | 221215 |
| Hexadecimal (base 16) | 1228D |
| Base 3 | 10210000212 |
| As time | 74381 seconds = 20 h 39 min 41 s |
Is 74381 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 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 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 10) | 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 74381 a prime number?
Yes. 74381 is divisible only by 1 and itself.
What are the factors of 74381?
1, 74381.
What is 74381 in binary?
10010001010001101 (hexadecimal 1228D, octal 221215).
What is the square root of 74381?
About 272.7288.
Is 74381 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74381?
74381 is a twin prime (74381 and 74383 are both prime); the 7338th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.