The number 13411
13411 is the 1590th prime number. Its only divisors are 1 and 13411.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13411: the 1590th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13411 is prime, so its only factors are 1 and 13411. It is the 1590th prime; the next prime is 13417 and the one before is 13399.
- 3
The divisors add up to 13412; without 13411 itself that is 1, so 13411 is deficient (1 is less than 13411). Euler's totient φ(13411) = 13410 numbers up to 13411 share no factor with it.
- 4
The digits of 13411 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
13411 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13412 |
| Euler totient φ(n) | 13410 |
| Square | 179854921 |
| Cube | 2412034345531 |
| Square root | 115.805872 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3411 × |
13411 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and eleven |
| Binary (base 2) | 11010001100011 |
| Octal (base 8) | 32143 |
| Hexadecimal (base 16) | 3463 |
| Base 3 | 200101201 |
| As time | 13411 seconds = 3 h 43 min 31 s |
Is 13411 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 3) | 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 3) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13411 a prime number?
Yes. 13411 is divisible only by 1 and itself.
What are the factors of 13411?
1, 13411.
What is 13411 in binary?
11010001100011 (hexadecimal 3463, octal 32143).
What is the square root of 13411?
About 115.8059.
Is 13411 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13411?
13411 is the 1590th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.