The number 53440
53440 is a composite number with 28 divisors. Its prime factorisation is × 5 × 167. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 167, 320, 334 … 53440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53440: a Harshad number: divisible by its digit sum 16.
- 2
53440 is composite. Its prime factorisation is
- 3
The divisors add up to 128016; without 53440 itself that is 74576, so 53440 is abundant (74576 is more than 53440). Euler's totient φ(53440) = 21248 numbers up to 53440 share no factor with it.
- 4
The digits of 53440 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53440 = 2^{6} \times 5 \times 167 \]53440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 128016 |
| Euler totient φ(n) | 21248 |
| Square | 2855833600 |
| Cube | 152615747584000 |
| Square root | 231.170932 (= 8√835) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.344 × |
53440 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and forty |
| Binary (base 2) | 1101000011000000 |
| Octal (base 8) | 150300 |
| Hexadecimal (base 16) | D0C0 |
| Base 3 | 2201022021 |
| As time | 53440 seconds = 14 h 50 min 40 s |
Is 53440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53440 ÷ 2 = 26720) | 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 (53440 ÷ 4 = 13360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53440 ÷ 5 = 10688) | 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 2) | 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 (53440 ÷ 8 = 6680) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53440 ÷ 10 = 5344) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 53440 a prime number?
No. 53440 = × 5 × 167, so it is divisible by 2.
What are the factors of 53440?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 167, 320, 334, 668, 835, 1336, 1670, 2672, 3340, 5344, 6680, 10688, 13360, 26720, 53440.
What is 53440 in binary?
1101000011000000 (hexadecimal D0C0, octal 150300).
What is the square root of 53440?
About 231.1709, exactly 8√835.
Is 53440 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 53440?
53440 is a Harshad number: divisible by its digit sum 16.