The number 54400
54400 is a composite number with 48 divisors. Its prime factorisation is × × 17. Divisors (48): 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68 … 54400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54400 is composite. Its prime factorisation is
- 3
The divisors add up to 142290; without 54400 itself that is 87890, so 54400 is abundant (87890 is more than 54400). Euler's totient φ(54400) = 20480 numbers up to 54400 share no factor with it.
- 4
The digits of 54400 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54400 = 2^{7} \times 5^{2} \times 17 \]54400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 142290 |
| Euler totient φ(n) | 20480 |
| Square | 2959360000 |
| Cube | 160989184000000 |
| Square root | 233.238076 (= 40√34) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.44 × |
54400 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred |
| Binary (base 2) | 1101010010000000 |
| Octal (base 8) | 152200 |
| Hexadecimal (base 16) | D480 |
| Base 3 | 2202121211 |
| As time | 54400 seconds = 15 h 6 min 40 s |
Is 54400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54400 ÷ 2 = 27200) | 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 (54400 ÷ 4 = 13600) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54400 ÷ 5 = 10880) | 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 3) | 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 (54400 ÷ 8 = 6800) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54400 ÷ 10 = 5440) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54400 a prime number?
No. 54400 = × × 17, so it is divisible by 2.
What are the factors of 54400?
1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68, 80, 85, 100, 128, 136, 160, 170, 200, 272, 320, 340, 400, 425, 544, 640, 680, 800, 850, 1088, 1360, 1600, 1700, 2176, 2720, 3200, 3400, 5440, 6800, 10880, 13600, 27200, 54400.
What is 54400 in binary?
1101010010000000 (hexadecimal D480, octal 152200).
What is the square root of 54400?
About 233.2381, exactly 40√34.
Is 54400 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 54400?
It is a composite number with 48 divisors.