The number 26004
26004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 197. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 197, 394, 591, 788 … 26004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26004: a Harshad number: divisible by its digit sum 12.
- 2
26004 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 26004 itself that is 40524, so 26004 is abundant (40524 is more than 26004). Euler's totient φ(26004) = 7840 numbers up to 26004 share no factor with it.
- 4
The digits of 26004 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26004 = 2^{2} \times 3 \times 11 \times 197 \]26004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 7840 |
| Square | 676208016 |
| Cube | 17584113248064 |
| Square root | 161.257558 (= 2√6501) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6004 × |
26004 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and four |
| Binary (base 2) | 110010110010100 |
| Octal (base 8) | 62624 |
| Hexadecimal (base 16) | 6594 |
| Base 3 | 1022200010 |
| As time | 26004 seconds = 7 h 13 min 24 s |
Is 26004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26004 ÷ 2 = 13002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26004 ÷ 3 = 8668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26004 ÷ 4 = 6501) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26004 ÷ 6 = 4334) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26004 ÷ 11 = 2364) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26004 ÷ 12 = 2167) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26004 a prime number?
No. 26004 = × 3 × 11 × 197, so it is divisible by 2.
What are the factors of 26004?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 197, 394, 591, 788, 1182, 2167, 2364, 4334, 6501, 8668, 13002, 26004.
What is 26004 in binary?
110010110010100 (hexadecimal 6594, octal 62624).
What is the square root of 26004?
About 161.2576, exactly 2√6501.
Is 26004 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 26004?
26004 is a Harshad number: divisible by its digit sum 12.