The number 27976
27976 is a composite number with 16 divisors. Its prime factorisation is × 13 × 269. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 269, 538, 1076, 2152, 3497, 6994, 13988, 27976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27976: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27976 is composite. Its prime factorisation is
- 3
The divisors add up to 56700; without 27976 itself that is 28724, so 27976 is abundant (28724 is more than 27976). Euler's totient φ(27976) = 12864 numbers up to 27976 share no factor with it.
- 4
The digits of 27976 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27976 = 2^{3} \times 13 \times 269 \]27976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56700 |
| Euler totient φ(n) | 12864 |
| Square | 782656576 |
| Cube | 21895600370176 |
| Square root | 167.260276 (= 2√6994) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7976 × |
27976 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and seventy-six |
| Binary (base 2) | 110110101001000 |
| Octal (base 8) | 66510 |
| Hexadecimal (base 16) | 6D48 |
| Base 3 | 1102101011 |
| As time | 27976 seconds = 7 h 46 min 16 s |
Is 27976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27976 ÷ 2 = 13988) | 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 (27976 ÷ 4 = 6994) | 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 4) | 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 (27976 ÷ 8 = 3497) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 27976 a prime number?
No. 27976 = × 13 × 269, so it is divisible by 2.
What are the factors of 27976?
1, 2, 4, 8, 13, 26, 52, 104, 269, 538, 1076, 2152, 3497, 6994, 13988, 27976.
What is 27976 in binary?
110110101001000 (hexadecimal 6D48, octal 66510).
What is the square root of 27976?
About 167.2603, exactly 2√6994.
Is 27976 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 27976?
27976 is a happy number: repeatedly adding the squares of its digits reaches 1.