The number 54450
54450 is a composite number with 54 divisors. Its prime factorisation is 2 × × × . Divisors (54): 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50 … 54450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54450: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
54450 is composite. Its prime factorisation is
- 3
The divisors add up to 160797; without 54450 itself that is 106347, so 54450 is abundant (106347 is more than 54450). Euler's totient φ(54450) = 13200 numbers up to 54450 share no factor with it.
- 4
The digits of 54450 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54450 = 2 \times 3^{2} \times 5^{2} \times 11^{2} \]54450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 160797 |
| Euler totient φ(n) | 13200 |
| Square | 2964802500 |
| Cube | 161433496125000 |
| Square root | 233.345238 (= 165√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.445 × |
54450 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and fifty |
| Binary (base 2) | 1101010010110010 |
| Octal (base 8) | 152262 |
| Hexadecimal (base 16) | D4B2 |
| Base 3 | 2202200200 |
| As time | 54450 seconds = 15 h 7 min 30 s |
Is 54450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54450 ÷ 2 = 27225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54450 ÷ 3 = 18150) | 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 | Yes (54450 ÷ 5 = 10890) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54450 ÷ 6 = 9075) | 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 | Yes (54450 ÷ 9 = 6050) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54450 ÷ 10 = 5445) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (54450 ÷ 11 = 4950) | 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 54450 a prime number?
No. 54450 = 2 × × × , so it is divisible by 2.
What are the factors of 54450?
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 121, 150, 165, 198, 225, 242, 275, 330, 363, 450, 495, 550, 605, 726, 825, 990, 1089, 1210, 1650, 1815, 2178, 2475, 3025, 3630, 4950, 5445, 6050, 9075, 10890, 18150, 27225, 54450.
What is 54450 in binary?
1101010010110010 (hexadecimal D4B2, octal 152262).
What is the square root of 54450?
About 233.3452, exactly 165√2.
Is 54450 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54450?
54450 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.