The number 26988
26988 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 173. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 173, 346, 519, 692 … 26988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26988 is composite. Its prime factorisation is
- 3
The divisors add up to 68208; without 26988 itself that is 41220, so 26988 is abundant (41220 is more than 26988). Euler's totient φ(26988) = 8256 numbers up to 26988 share no factor with it.
- 4
The digits of 26988 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26988 = 2^{2} \times 3 \times 13 \times 173 \]26988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68208 |
| Euler totient φ(n) | 8256 |
| Square | 728352144 |
| Cube | 19656767662272 |
| Square root | 164.280248 (= 2√6747) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.6988 × |
26988 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and eighty-eight |
| Binary (base 2) | 110100101101100 |
| Octal (base 8) | 64554 |
| Hexadecimal (base 16) | 696C |
| Base 3 | 1101000120 |
| As time | 26988 seconds = 7 h 29 min 48 s |
Is 26988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26988 ÷ 2 = 13494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26988 ÷ 3 = 8996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26988 ÷ 4 = 6747) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26988 ÷ 6 = 4498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26988 ÷ 12 = 2249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26988 a prime number?
No. 26988 = × 3 × 13 × 173, so it is divisible by 2.
What are the factors of 26988?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 173, 346, 519, 692, 1038, 2076, 2249, 4498, 6747, 8996, 13494, 26988.
What is 26988 in binary?
110100101101100 (hexadecimal 696C, octal 64554).
What is the square root of 26988?
About 164.2802, exactly 2√6747.
Is 26988 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 26988?
It is a composite number with 24 divisors.