The number 26976
26976 is a composite number with 24 divisors. Its prime factorisation is × 3 × 281. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 281, 562, 843, 1124 … 26976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26976 is composite. Its prime factorisation is
- 3
The divisors add up to 71064; without 26976 itself that is 44088, so 26976 is abundant (44088 is more than 26976). Euler's totient φ(26976) = 8960 numbers up to 26976 share no factor with it.
- 4
The digits of 26976 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26976 = 2^{5} \times 3 \times 281 \]26976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 71064 |
| Euler totient φ(n) | 8960 |
| Square | 727704576 |
| Cube | 19630558642176 |
| Square root | 164.243721 (= 4√1686) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6976 × |
26976 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and seventy-six |
| Binary (base 2) | 110100101100000 |
| Octal (base 8) | 64540 |
| Hexadecimal (base 16) | 6960 |
| Base 3 | 1101000010 |
| As time | 26976 seconds = 7 h 29 min 36 s |
Is 26976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26976 ÷ 2 = 13488) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26976 ÷ 3 = 8992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26976 ÷ 4 = 6744) | 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 (26976 ÷ 6 = 4496) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (26976 ÷ 8 = 3372) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26976 ÷ 12 = 2248) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26976 a prime number?
No. 26976 = × 3 × 281, so it is divisible by 2.
What are the factors of 26976?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 281, 562, 843, 1124, 1686, 2248, 3372, 4496, 6744, 8992, 13488, 26976.
What is 26976 in binary?
110100101100000 (hexadecimal 6960, octal 64540).
What is the square root of 26976?
About 164.2437, exactly 4√1686.
Is 26976 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 26976?
It is a composite number with 24 divisors.