The number 26003
26003 is the 2861st prime number. Its only divisors are 1 and 26003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26003: the 2861st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26003 is prime, so its only factors are 1 and 26003. It is the 2861st prime; the next prime is 26017 and the one before is 25999.
- 3
The divisors add up to 26004; without 26003 itself that is 1, so 26003 is deficient (1 is less than 26003). Euler's totient φ(26003) = 26002 numbers up to 26003 share no factor with it.
- 4
The digits of 26003 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
26003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26004 |
| Euler totient φ(n) | 26002 |
| Square | 676156009 |
| Cube | 17582084702027 |
| Square root | 161.254457 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6003 × |
26003 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and three |
| Binary (base 2) | 110010110010011 |
| Octal (base 8) | 62623 |
| Hexadecimal (base 16) | 6593 |
| Base 3 | 1022200002 |
| As time | 26003 seconds = 7 h 13 min 23 s |
Is 26003 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 3) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 26003 a prime number?
Yes. 26003 is divisible only by 1 and itself.
What are the factors of 26003?
1, 26003.
What is 26003 in binary?
110010110010011 (hexadecimal 6593, octal 62623).
What is the square root of 26003?
About 161.2545.
Is 26003 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 26003?
26003 is the 2861st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.