The number 54948
54948 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 241. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 241, 482, 723, 964 … 54948.
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How to work it out
- 1
54948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54948 is composite. Its prime factorisation is
- 3
The divisors add up to 135520; without 54948 itself that is 80572, so 54948 is abundant (80572 is more than 54948). Euler's totient φ(54948) = 17280 numbers up to 54948 share no factor with it.
- 4
The digits of 54948 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54948 = 2^{2} \times 3 \times 19 \times 241 \]54948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 135520 |
| Euler totient φ(n) | 17280 |
| Square | 3019282704 |
| Cube | 165903546019392 |
| Square root | 234.409897 (= 2√13737) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.4948 × |
54948 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and forty-eight |
| Binary (base 2) | 1101011010100100 |
| Octal (base 8) | 153244 |
| Hexadecimal (base 16) | D6A4 |
| Base 3 | 2210101010 |
| As time | 54948 seconds = 15 h 15 min 48 s |
Is 54948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54948 ÷ 2 = 27474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54948 ÷ 3 = 18316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54948 ÷ 4 = 13737) | 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 (54948 ÷ 6 = 9158) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54948 ÷ 12 = 4579) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54948 a prime number?
No. 54948 = × 3 × 19 × 241, so it is divisible by 2.
What are the factors of 54948?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 241, 482, 723, 964, 1446, 2892, 4579, 9158, 13737, 18316, 27474, 54948.
What is 54948 in binary?
1101011010100100 (hexadecimal D6A4, octal 153244).
What is the square root of 54948?
About 234.4099, exactly 2√13737.
Is 54948 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 54948?
It is a composite number with 24 divisors.