The number 54748
54748 is an Armstrong number: each digit raised to the power 5 adds up to 54748. Its prime factorisation is × 13687. Divisors (6): 1, 2, 4, 13687, 27374, 54748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54748: an Armstrong number: each digit raised to the power 5 adds up to 54748.
- 2
54748 is composite. Its prime factorisation is
- 3
The divisors add up to 95816; without 54748 itself that is 41068, so 54748 is deficient (41068 is less than 54748). Euler's totient φ(54748) = 27372 numbers up to 54748 share no factor with it.
- 4
The digits of 54748 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54748 = 2^{2} \times 13687 \]54748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 95816 |
| Euler totient φ(n) | 27372 |
| Square | 2997343504 |
| Cube | 164098562156992 |
| Square root | 233.982905 (= 2√13687) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4748 × |
54748 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and forty-eight |
| Binary (base 2) | 1101010111011100 |
| Octal (base 8) | 152734 |
| Hexadecimal (base 16) | D5DC |
| Base 3 | 2210002201 |
| As time | 54748 seconds = 15 h 12 min 28 s |
Is 54748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54748 ÷ 2 = 27374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54748 ÷ 4 = 13687) | 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 4) | 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 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54748 a prime number?
No. 54748 = × 13687, so it is divisible by 2.
What are the factors of 54748?
1, 2, 4, 13687, 27374, 54748.
What is 54748 in binary?
1101010111011100 (hexadecimal D5DC, octal 152734).
What is the square root of 54748?
About 233.9829, exactly 2√13687.
Is 54748 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 54748?
54748 is an Armstrong number: each digit raised to the power 5 adds up to 54748.