The number 53376
53376 is a composite number with 32 divisors. Its prime factorisation is × 3 × 139. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 139, 192 … 53376.
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How to work it out
- 1
What is special about 53376: a Harshad number: divisible by its digit sum 24.
- 2
53376 is composite. Its prime factorisation is
- 3
The divisors add up to 142800; without 53376 itself that is 89424, so 53376 is abundant (89424 is more than 53376). Euler's totient φ(53376) = 17664 numbers up to 53376 share no factor with it.
- 4
The digits of 53376 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53376 = 2^{7} \times 3 \times 139 \]53376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 142800 |
| Euler totient φ(n) | 17664 |
| Square | 2848997376 |
| Cube | 152068083941376 |
| Square root | 231.032465 (= 8√834) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3376 × |
53376 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and seventy-six |
| Binary (base 2) | 1101000010000000 |
| Octal (base 8) | 150200 |
| Hexadecimal (base 16) | D080 |
| Base 3 | 2201012220 |
| As time | 53376 seconds = 14 h 49 min 36 s |
Is 53376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53376 ÷ 2 = 26688) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53376 ÷ 3 = 17792) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53376 ÷ 4 = 13344) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53376 ÷ 6 = 8896) | 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 (53376 ÷ 8 = 6672) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53376 ÷ 12 = 4448) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53376 a prime number?
No. 53376 = × 3 × 139, so it is divisible by 2.
What are the factors of 53376?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 139, 192, 278, 384, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672, 8896, 13344, 17792, 26688, 53376.
What is 53376 in binary?
1101000010000000 (hexadecimal D080, octal 150200).
What is the square root of 53376?
About 231.0325, exactly 8√834.
Is 53376 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53376?
53376 is a Harshad number: divisible by its digit sum 24.