The number 26980
26980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 71. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 71, 76, 95, 142, 190, 284, 355, 380 … 26980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26980 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 26980 itself that is 33500, so 26980 is abundant (33500 is more than 26980). Euler's totient φ(26980) = 10080 numbers up to 26980 share no factor with it.
- 4
The digits of 26980 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26980 = 2^{2} \times 5 \times 19 \times 71 \]26980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 10080 |
| Square | 727920400 |
| Cube | 19639292392000 |
| Square root | 164.255898 (= 2√6745) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.698 × |
26980 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and eighty |
| Binary (base 2) | 110100101100100 |
| Octal (base 8) | 64544 |
| Hexadecimal (base 16) | 6964 |
| Base 3 | 1101000021 |
| As time | 26980 seconds = 7 h 29 min 40 s |
Is 26980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26980 ÷ 2 = 13490) | 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 (26980 ÷ 4 = 6745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26980 ÷ 5 = 5396) | 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 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26980 ÷ 10 = 2698) | 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 26980 a prime number?
No. 26980 = × 5 × 19 × 71, so it is divisible by 2.
What are the factors of 26980?
1, 2, 4, 5, 10, 19, 20, 38, 71, 76, 95, 142, 190, 284, 355, 380, 710, 1349, 1420, 2698, 5396, 6745, 13490, 26980.
What is 26980 in binary?
110100101100100 (hexadecimal 6964, octal 64544).
What is the square root of 26980?
About 164.2559, exactly 2√6745.
Is 26980 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 26980?
It is a composite number with 24 divisors.