The number 54488
54488 is a composite number with 24 divisors. Its prime factorisation is × × 139. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 139, 196, 278, 392, 556, 973 … 54488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54488 is composite. Its prime factorisation is
- 3
The divisors add up to 119700; without 54488 itself that is 65212, so 54488 is abundant (65212 is more than 54488). Euler's totient φ(54488) = 23184 numbers up to 54488 share no factor with it.
- 4
The digits of 54488 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54488 = 2^{3} \times 7^{2} \times 139 \]54488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119700 |
| Euler totient φ(n) | 23184 |
| Square | 2968942144 |
| Cube | 161771719542272 |
| Square root | 233.426648 (= 14√278) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.4488 × |
54488 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and eighty-eight |
| Binary (base 2) | 1101010011011000 |
| Octal (base 8) | 152330 |
| Hexadecimal (base 16) | D4D8 |
| Base 3 | 2202202002 |
| As time | 54488 seconds = 15 h 8 min 8 s |
Is 54488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54488 ÷ 2 = 27244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54488 ÷ 4 = 13622) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54488 ÷ 7 = 7784) | 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 | Yes (54488 ÷ 8 = 6811) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54488 a prime number?
No. 54488 = × × 139, so it is divisible by 2.
What are the factors of 54488?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 139, 196, 278, 392, 556, 973, 1112, 1946, 3892, 6811, 7784, 13622, 27244, 54488.
What is 54488 in binary?
1101010011011000 (hexadecimal D4D8, octal 152330).
What is the square root of 54488?
About 233.4266, exactly 14√278.
Is 54488 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 54488?
It is a composite number with 24 divisors.