The number 13454
13454 is a composite number with 12 divisors. Its prime factorisation is 2 × 7 × . Divisors (12): 1, 2, 7, 14, 31, 62, 217, 434, 961, 1922, 6727, 13454.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13454 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13454 is composite. Its prime factorisation is
- 3
The divisors add up to 23832; without 13454 itself that is 10378, so 13454 is deficient (10378 is less than 13454). Euler's totient φ(13454) = 5580 numbers up to 13454 share no factor with it.
- 4
The digits of 13454 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13454 = 2 \times 7 \times 31^{2} \]13454 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23832 |
| Euler totient φ(n) | 5580 |
| Square | 181010116 |
| Cube | 2435310100664 |
| Square root | 115.991379 (= 31√14) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3454 × |
13454 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and fifty-four |
| Binary (base 2) | 11010010001110 |
| Octal (base 8) | 32216 |
| Hexadecimal (base 16) | 348E |
| Base 3 | 200110022 |
| As time | 13454 seconds = 3 h 44 min 14 s |
Is 13454 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13454 ÷ 2 = 6727) | 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 4) | 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 (13454 ÷ 7 = 1922) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13454 a prime number?
No. 13454 = 2 × 7 × , so it is divisible by 2.
What are the factors of 13454?
1, 2, 7, 14, 31, 62, 217, 434, 961, 1922, 6727, 13454.
What is 13454 in binary?
11010010001110 (hexadecimal 348E, octal 32216).
What is the square root of 13454?
About 115.9914, exactly 31√14.
Is 13454 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13454?
It is a composite number with 12 divisors.