The number 54468
54468 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 89. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 89, 102, 153 … 54468.
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How to work it out
- 1
54468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54468 is composite. Its prime factorisation is
- 3
The divisors add up to 147420; without 54468 itself that is 92952, so 54468 is abundant (92952 is more than 54468). Euler's totient φ(54468) = 16896 numbers up to 54468 share no factor with it.
- 4
The digits of 54468 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54468 = 2^{2} \times 3^{2} \times 17 \times 89 \]54468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 147420 |
| Euler totient φ(n) | 16896 |
| Square | 2966763024 |
| Cube | 161593648391232 |
| Square root | 233.383804 (= 6√1513) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.4468 × |
54468 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and sixty-eight |
| Binary (base 2) | 1101010011000100 |
| Octal (base 8) | 152304 |
| Hexadecimal (base 16) | D4C4 |
| Base 3 | 2202201100 |
| As time | 54468 seconds = 15 h 7 min 48 s |
Is 54468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54468 ÷ 2 = 27234) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54468 ÷ 3 = 18156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54468 ÷ 4 = 13617) | 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 (54468 ÷ 6 = 9078) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (54468 ÷ 9 = 6052) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54468 ÷ 12 = 4539) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54468 a prime number?
No. 54468 = × × 17 × 89, so it is divisible by 2.
What are the factors of 54468?
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 89, 102, 153, 178, 204, 267, 306, 356, 534, 612, 801, 1068, 1513, 1602, 3026, 3204, 4539, 6052, 9078, 13617, 18156, 27234, 54468.
What is 54468 in binary?
1101010011000100 (hexadecimal D4C4, octal 152304).
What is the square root of 54468?
About 233.3838, exactly 6√1513.
Is 54468 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 54468?
It is a composite number with 36 divisors.