The number 26992
26992 is a composite number with 20 divisors. Its prime factorisation is × 7 × 241. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 241, 482, 964, 1687, 1928, 3374 … 26992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26992: a Harshad number: divisible by its digit sum 28.
- 2
26992 is composite. Its prime factorisation is
- 3
The divisors add up to 60016; without 26992 itself that is 33024, so 26992 is abundant (33024 is more than 26992). Euler's totient φ(26992) = 11520 numbers up to 26992 share no factor with it.
- 4
The digits of 26992 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26992 = 2^{4} \times 7 \times 241 \]26992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 60016 |
| Euler totient φ(n) | 11520 |
| Square | 728568064 |
| Cube | 19665509183488 |
| Square root | 164.292422 (= 4√1687) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6992 × |
26992 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and ninety-two |
| Binary (base 2) | 110100101110000 |
| Octal (base 8) | 64560 |
| Hexadecimal (base 16) | 6970 |
| Base 3 | 1101000201 |
| As time | 26992 seconds = 7 h 29 min 52 s |
Is 26992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26992 ÷ 2 = 13496) | 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 (26992 ÷ 4 = 6748) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (26992 ÷ 7 = 3856) | 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 (26992 ÷ 8 = 3374) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 26992 a prime number?
No. 26992 = × 7 × 241, so it is divisible by 2.
What are the factors of 26992?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 241, 482, 964, 1687, 1928, 3374, 3856, 6748, 13496, 26992.
What is 26992 in binary?
110100101110000 (hexadecimal 6970, octal 64560).
What is the square root of 26992?
About 164.2924, exactly 4√1687.
Is 26992 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 26992?
26992 is a Harshad number: divisible by its digit sum 28.