The number 54440
54440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1361. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1361, 2722, 5444, 6805, 10888, 13610, 27220, 54440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54440 is composite. Its prime factorisation is
- 3
The divisors add up to 122580; without 54440 itself that is 68140, so 54440 is abundant (68140 is more than 54440). Euler's totient φ(54440) = 21760 numbers up to 54440 share no factor with it.
- 4
The digits of 54440 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54440 = 2^{3} \times 5 \times 1361 \]54440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122580 |
| Euler totient φ(n) | 21760 |
| Square | 2963713600 |
| Cube | 161344568384000 |
| Square root | 233.323809 (= 2√13610) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.444 × |
54440 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and forty |
| Binary (base 2) | 1101010010101000 |
| Octal (base 8) | 152250 |
| Hexadecimal (base 16) | D4A8 |
| Base 3 | 2202200022 |
| As time | 54440 seconds = 15 h 7 min 20 s |
Is 54440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54440 ÷ 2 = 27220) | 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 (54440 ÷ 4 = 13610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54440 ÷ 5 = 10888) | 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 | 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 | Yes (54440 ÷ 8 = 6805) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54440 ÷ 10 = 5444) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54440 a prime number?
No. 54440 = × 5 × 1361, so it is divisible by 2.
What are the factors of 54440?
1, 2, 4, 5, 8, 10, 20, 40, 1361, 2722, 5444, 6805, 10888, 13610, 27220, 54440.
What is 54440 in binary?
1101010010101000 (hexadecimal D4A8, octal 152250).
What is the square root of 54440?
About 233.3238, exactly 2√13610.
Is 54440 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 54440?
It is a composite number with 16 divisors.