The number 13412
13412 is a composite number with 12 divisors. Its prime factorisation is × 7 × 479. Divisors (12): 1, 2, 4, 7, 14, 28, 479, 958, 1916, 3353, 6706, 13412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13412: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13412 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 13412 itself that is 13468, so 13412 is abundant (13468 is more than 13412). Euler's totient φ(13412) = 5736 numbers up to 13412 share no factor with it.
- 4
The digits of 13412 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13412 = 2^{2} \times 7 \times 479 \]13412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 5736 |
| Square | 179881744 |
| Cube | 2412573950528 |
| Square root | 115.810190 (= 2√3353) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3412 × |
13412 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and twelve |
| Binary (base 2) | 11010001100100 |
| Octal (base 8) | 32144 |
| Hexadecimal (base 16) | 3464 |
| Base 3 | 200101202 |
| As time | 13412 seconds = 3 h 43 min 32 s |
Is 13412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13412 ÷ 2 = 6706) | 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 | Yes (13412 ÷ 4 = 3353) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13412 ÷ 7 = 1916) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13412 a prime number?
No. 13412 = × 7 × 479, so it is divisible by 2.
What are the factors of 13412?
1, 2, 4, 7, 14, 28, 479, 958, 1916, 3353, 6706, 13412.
What is 13412 in binary?
11010001100100 (hexadecimal 3464, octal 32144).
What is the square root of 13412?
About 115.8102, exactly 2√3353.
Is 13412 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13412?
13412 is a happy number: repeatedly adding the squares of its digits reaches 1.