The number 5376
5376 is a composite number with 36 divisors. Its prime factorisation is × 3 × 7. Divisors (36): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 5376.
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How to work it out
- 1
What is special about 5376: a Harshad number: divisible by its digit sum 21.
- 2
5376 is composite. Its prime factorisation is
- 3
The divisors add up to 16352; without 5376 itself that is 10976, so 5376 is abundant (10976 is more than 5376). Euler's totient φ(5376) = 1536 numbers up to 5376 share no factor with it.
- 4
The digits of 5376 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5376 = 2^{8} \times 3 \times 7 \]5376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 16352 |
| Euler totient φ(n) | 1536 |
| Square | 28901376 |
| Cube | 155373797376 |
| Square root | 73.321211 (= 16√21) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 15 |
| Scientific notation | 5.376 × |
5376 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and seventy-six |
| Binary (base 2) | 1010100000000 |
| Octal (base 8) | 12400 |
| Hexadecimal (base 16) | 1500 |
| Base 3 | 21101010 |
| As time | 5376 seconds = 1 h 29 min 36 s |
Is 5376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5376 ÷ 2 = 2688) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5376 ÷ 3 = 1792) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5376 ÷ 4 = 1344) | 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 (5376 ÷ 6 = 896) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5376 ÷ 7 = 768) | 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 (5376 ÷ 8 = 672) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5376 ÷ 12 = 448) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5376 a prime number?
No. 5376 = × 3 × 7, so it is divisible by 2.
What are the factors of 5376?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376.
What is 5376 in binary?
1010100000000 (hexadecimal 1500, octal 12400).
What is the square root of 5376?
About 73.3212, exactly 16√21.
Is 5376 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5376?
5376 is a Harshad number: divisible by its digit sum 21.