The number 13413
13413 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 263. Divisors (8): 1, 3, 17, 51, 263, 789, 4471, 13413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13413 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13413 is composite. Its prime factorisation is
- 3
The divisors add up to 19008; without 13413 itself that is 5595, so 13413 is deficient (5595 is less than 13413). Euler's totient φ(13413) = 8384 numbers up to 13413 share no factor with it.
- 4
The digits of 13413 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13413 = 3 \times 17 \times 263 \]
13413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19008 |
| Euler totient φ(n) | 8384 |
| Square | 179908569 |
| Cube | 2413113635997 |
| Square root | 115.814507 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3413 × |
13413 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirteen |
| Binary (base 2) | 11010001100101 |
| Octal (base 8) | 32145 |
| Hexadecimal (base 16) | 3465 |
| Base 3 | 200101210 |
| As time | 13413 seconds = 3 h 43 min 33 s |
Is 13413 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 | Yes (13413 ÷ 3 = 4471) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13413 a prime number?
No. 13413 = 3 × 17 × 263, so it is divisible by 3.
What are the factors of 13413?
1, 3, 17, 51, 263, 789, 4471, 13413.
What is 13413 in binary?
11010001100101 (hexadecimal 3465, octal 32145).
What is the square root of 13413?
About 115.8145.
Is 13413 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13413?
It is a composite number with 8 divisors.