The number 13478
13478 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 293. Divisors (8): 1, 2, 23, 46, 293, 586, 6739, 13478.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13478: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.
- 2
13478 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 13478 itself that is 7690, so 13478 is deficient (7690 is less than 13478). Euler's totient φ(13478) = 6424 numbers up to 13478 share no factor with it.
- 4
The digits of 13478 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13478 = 2 \times 23 \times 293 \]
13478 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 6424 |
| Square | 181656484 |
| Cube | 2448366091352 |
| Square root | 116.094789 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3478 × |
13478 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and seventy-eight |
| Binary (base 2) | 11010010100110 |
| Octal (base 8) | 32246 |
| Hexadecimal (base 16) | 34A6 |
| Base 3 | 200111012 |
| As time | 13478 seconds = 3 h 44 min 38 s |
Is 13478 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13478 ÷ 2 = 6739) | 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 2) | 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 2) | 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 6) | 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 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13478 a prime number?
No. 13478 = 2 × 23 × 293, so it is divisible by 2.
What are the factors of 13478?
1, 2, 23, 46, 293, 586, 6739, 13478.
What is 13478 in binary?
11010010100110 (hexadecimal 34A6, octal 32246).
What is the square root of 13478?
About 116.0948.
Is 13478 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13478?
13478 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.