The number 53840
53840 is a composite number with 20 divisors. Its prime factorisation is × 5 × 673. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 673, 1346, 2692, 3365, 5384, 6730 … 53840.
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How to work it out
- 1
What is special about 53840: a Harshad number: divisible by its digit sum 20.
- 2
53840 is composite. Its prime factorisation is
- 3
The divisors add up to 125364; without 53840 itself that is 71524, so 53840 is abundant (71524 is more than 53840). Euler's totient φ(53840) = 21504 numbers up to 53840 share no factor with it.
- 4
The digits of 53840 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53840 = 2^{4} \times 5 \times 673 \]53840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 125364 |
| Euler totient φ(n) | 21504 |
| Square | 2898745600 |
| Cube | 156068463104000 |
| Square root | 232.034480 (= 4√3365) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.384 × |
53840 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and forty |
| Binary (base 2) | 1101001001010000 |
| Octal (base 8) | 151120 |
| Hexadecimal (base 16) | D250 |
| Base 3 | 2201212002 |
| As time | 53840 seconds = 14 h 57 min 20 s |
Is 53840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53840 ÷ 2 = 26920) | 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 (53840 ÷ 4 = 13460) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53840 ÷ 5 = 10768) | 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 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 (53840 ÷ 8 = 6730) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53840 ÷ 10 = 5384) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 53840 a prime number?
No. 53840 = × 5 × 673, so it is divisible by 2.
What are the factors of 53840?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 673, 1346, 2692, 3365, 5384, 6730, 10768, 13460, 26920, 53840.
What is 53840 in binary?
1101001001010000 (hexadecimal D250, octal 151120).
What is the square root of 53840?
About 232.0345, exactly 4√3365.
Is 53840 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53840?
53840 is a Harshad number: divisible by its digit sum 20.