The number 5418
5418 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 43. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258 … 5418.
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How to work it out
- 1
What is special about 5418: a Harshad number: divisible by its digit sum 18.
- 2
5418 is composite. Its prime factorisation is
- 3
The divisors add up to 13728; without 5418 itself that is 8310, so 5418 is abundant (8310 is more than 5418). Euler's totient φ(5418) = 1512 numbers up to 5418 share no factor with it.
- 4
The digits of 5418 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5418 = 2 \times 3^{2} \times 7 \times 43 \]5418 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13728 |
| Euler totient φ(n) | 1512 |
| Square | 29354724 |
| Cube | 159043894632 |
| Square root | 73.607065 (= 3√602) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.418 × |
5418 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and eighteen |
| Binary (base 2) | 1010100101010 |
| Octal (base 8) | 12452 |
| Hexadecimal (base 16) | 152A |
| Base 3 | 21102200 |
| As time | 5418 seconds = 1 h 30 min 18 s |
Is 5418 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5418 ÷ 2 = 2709) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5418 ÷ 3 = 1806) | 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 (5418 ÷ 6 = 903) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5418 ÷ 7 = 774) | 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 | Yes (5418 ÷ 9 = 602) | 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 6) | 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 5418 a prime number?
No. 5418 = 2 × × 7 × 43, so it is divisible by 2.
What are the factors of 5418?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418.
What is 5418 in binary?
1010100101010 (hexadecimal 152A, octal 12452).
What is the square root of 5418?
About 73.6071, exactly 3√602.
Is 5418 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5418?
5418 is a Harshad number: divisible by its digit sum 18.