The number 13458
13458 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2243. Divisors (8): 1, 2, 3, 6, 2243, 4486, 6729, 13458.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13458 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13458 is composite. Its prime factorisation is
- 3
The divisors add up to 26928; without 13458 itself that is 13470, so 13458 is abundant (13470 is more than 13458). Euler's totient φ(13458) = 4484 numbers up to 13458 share no factor with it.
- 4
The digits of 13458 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13458 = 2 \times 3 \times 2243 \]
13458 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26928 |
| Euler totient φ(n) | 4484 |
| Square | 181117764 |
| Cube | 2437482867912 |
| Square root | 116.008620 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3458 × |
13458 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and fifty-eight |
| Binary (base 2) | 11010010010010 |
| Octal (base 8) | 32222 |
| Hexadecimal (base 16) | 3492 |
| Base 3 | 200110110 |
| As time | 13458 seconds = 3 h 44 min 18 s |
Is 13458 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13458 ÷ 2 = 6729) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13458 ÷ 3 = 4486) | 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 | Yes (13458 ÷ 6 = 2243) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13458 a prime number?
No. 13458 = 2 × 3 × 2243, so it is divisible by 2.
What are the factors of 13458?
1, 2, 3, 6, 2243, 4486, 6729, 13458.
What is 13458 in binary?
11010010010010 (hexadecimal 3492, octal 32222).
What is the square root of 13458?
About 116.0086.
Is 13458 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13458?
It is a composite number with 8 divisors.