The number 27376
27376 is a composite number with 20 divisors. Its prime factorisation is × 29 × 59. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 59, 116, 118, 232, 236, 464, 472, 944, 1711 … 27376.
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How to work it out
- 1
27376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27376 is composite. Its prime factorisation is
- 3
The divisors add up to 55800; without 27376 itself that is 28424, so 27376 is abundant (28424 is more than 27376). Euler's totient φ(27376) = 12992 numbers up to 27376 share no factor with it.
- 4
The digits of 27376 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27376 = 2^{4} \times 29 \times 59 \]27376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 55800 |
| Euler totient φ(n) | 12992 |
| Square | 749445376 |
| Cube | 20516816613376 |
| Square root | 165.456943 (= 4√1711) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7376 × |
27376 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and seventy-six |
| Binary (base 2) | 110101011110000 |
| Octal (base 8) | 65360 |
| Hexadecimal (base 16) | 6AF0 |
| Base 3 | 1101112221 |
| As time | 27376 seconds = 7 h 36 min 16 s |
Is 27376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27376 ÷ 2 = 13688) | 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 (27376 ÷ 4 = 6844) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (27376 ÷ 8 = 3422) | 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 | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27376 a prime number?
No. 27376 = × 29 × 59, so it is divisible by 2.
What are the factors of 27376?
1, 2, 4, 8, 16, 29, 58, 59, 116, 118, 232, 236, 464, 472, 944, 1711, 3422, 6844, 13688, 27376.
What is 27376 in binary?
110101011110000 (hexadecimal 6AF0, octal 65360).
What is the square root of 27376?
About 165.4569, exactly 4√1711.
Is 27376 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 27376?
It is a composite number with 20 divisors.