The number 74413
74413 is a twin prime (74411 and 74413 are both prime) and the 7341st prime number. Its only divisors are 1 and 74413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74413: a twin prime (74411 and 74413 are both prime); the 7341st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74413 is prime, so its only factors are 1 and 74413. It is the 7341st prime; the next prime is 74419 and the one before is 74411.
- 3
The divisors add up to 74414; without 74413 itself that is 1, so 74413 is deficient (1 is less than 74413). Euler's totient φ(74413) = 74412 numbers up to 74413 share no factor with it.
- 4
The digits of 74413 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 187 steps to reach 1.
74413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74414 |
| Euler totient φ(n) | 74412 |
| Square | 5537294569 |
| Cube | 412046700762997 |
| Square root | 272.787463 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4413 × |
74413 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and thirteen |
| Binary (base 2) | 10010001010101101 |
| Octal (base 8) | 221255 |
| Hexadecimal (base 16) | 122AD |
| Base 3 | 10210002001 |
| As time | 74413 seconds = 20 h 40 min 13 s |
Is 74413 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 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 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 9) | 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 74413 a prime number?
Yes. 74413 is divisible only by 1 and itself.
What are the factors of 74413?
1, 74413.
What is 74413 in binary?
10010001010101101 (hexadecimal 122AD, octal 221255).
What is the square root of 74413?
About 272.7875.
Is 74413 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 74413?
74413 is a twin prime (74411 and 74413 are both prime); the 7341st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.