The number 26987
26987 is the 2960th prime number. Its only divisors are 1 and 26987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26987: the 2960th prime number.
- 2
26987 is prime, so its only factors are 1 and 26987. It is the 2960th prime; the next prime is 26993 and the one before is 26981.
- 3
The divisors add up to 26988; without 26987 itself that is 1, so 26987 is deficient (1 is less than 26987). Euler's totient φ(26987) = 26986 numbers up to 26987 share no factor with it.
- 4
The digits of 26987 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
26987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26988 |
| Euler totient φ(n) | 26986 |
| Square | 728298169 |
| Cube | 19654582686803 |
| Square root | 164.277205 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6987 × |
26987 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and eighty-seven |
| Binary (base 2) | 110100101101011 |
| Octal (base 8) | 64553 |
| Hexadecimal (base 16) | 696B |
| Base 3 | 1101000112 |
| As time | 26987 seconds = 7 h 29 min 47 s |
Is 26987 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26987 a prime number?
Yes. 26987 is divisible only by 1 and itself.
What are the factors of 26987?
1, 26987.
What is 26987 in binary?
110100101101011 (hexadecimal 696B, octal 64553).
What is the square root of 26987?
About 164.2772.
Is 26987 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 26987?
26987 is the 2960th prime number.