The number 26007
26007 is a composite number with 4 divisors. Its prime factorisation is 3 × 8669. Divisors (4): 1, 3, 8669, 26007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26007: a semiprime: 3 × 8669, the product of two primes.
- 2
26007 is composite. Its prime factorisation is
- 3
The divisors add up to 34680; without 26007 itself that is 8673, so 26007 is deficient (8673 is less than 26007). Euler's totient φ(26007) = 17336 numbers up to 26007 share no factor with it.
- 4
The digits of 26007 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26007 = 3 \times 8669 \]
26007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34680 |
| Euler totient φ(n) | 17336 |
| Square | 676364049 |
| Cube | 17590199822343 |
| Square root | 161.266860 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6007 × |
26007 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and seven |
| Binary (base 2) | 110010110010111 |
| Octal (base 8) | 62627 |
| Hexadecimal (base 16) | 6597 |
| Base 3 | 1022200020 |
| As time | 26007 seconds = 7 h 13 min 27 s |
Is 26007 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 | Yes (26007 ÷ 3 = 8669) | 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 3) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26007 a prime number?
No. 26007 = 3 × 8669, so it is divisible by 3.
What are the factors of 26007?
1, 3, 8669, 26007.
What is 26007 in binary?
110010110010111 (hexadecimal 6597, octal 62627).
What is the square root of 26007?
About 161.2669.
Is 26007 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 26007?
26007 is a semiprime: 3 × 8669, the product of two primes.