The number 54324
54324 is a composite number with 24 divisors. Its prime factorisation is × × 503. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 503, 1006, 1509, 2012 … 54324.
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How to work it out
- 1
What is special about 54324: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
54324 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 54324 itself that is 86796, so 54324 is abundant (86796 is more than 54324). Euler's totient φ(54324) = 18072 numbers up to 54324 share no factor with it.
- 4
The digits of 54324 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54324 = 2^{2} \times 3^{3} \times 503 \]54324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 18072 |
| Square | 2951096976 |
| Cube | 160315392124224 |
| Square root | 233.075095 (= 6√1509) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4324 × |
54324 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand three hundred and twenty-four |
| Binary (base 2) | 1101010000110100 |
| Octal (base 8) | 152064 |
| Hexadecimal (base 16) | D434 |
| Base 3 | 2202112000 |
| As time | 54324 seconds = 15 h 5 min 24 s |
Is 54324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54324 ÷ 2 = 27162) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54324 ÷ 3 = 18108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54324 ÷ 4 = 13581) | 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 | Yes (54324 ÷ 6 = 9054) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54324 ÷ 9 = 6036) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54324 ÷ 12 = 4527) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54324 a prime number?
No. 54324 = × × 503, so it is divisible by 2.
What are the factors of 54324?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 503, 1006, 1509, 2012, 3018, 4527, 6036, 9054, 13581, 18108, 27162, 54324.
What is 54324 in binary?
1101010000110100 (hexadecimal D434, octal 152064).
What is the square root of 54324?
About 233.0751, exactly 6√1509.
Is 54324 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54324?
54324 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.