The number 26676
26676 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 19. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 27, 36, 38, 39, 52 … 26676.
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How to work it out
- 1
What is special about 26676: a Harshad number: divisible by its digit sum 27.
- 2
26676 is composite. Its prime factorisation is
- 3
The divisors add up to 78400; without 26676 itself that is 51724, so 26676 is abundant (51724 is more than 26676). Euler's totient φ(26676) = 7776 numbers up to 26676 share no factor with it.
- 4
The digits of 26676 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26676 = 2^{2} \times 3^{3} \times 13 \times 19 \]26676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 78400 |
| Euler totient φ(n) | 7776 |
| Square | 711608976 |
| Cube | 18982881043776 |
| Square root | 163.327891 (= 6√741) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.6676 × |
26676 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and seventy-six |
| Binary (base 2) | 110100000110100 |
| Octal (base 8) | 64064 |
| Hexadecimal (base 16) | 6834 |
| Base 3 | 1100121000 |
| As time | 26676 seconds = 7 h 24 min 36 s |
Is 26676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26676 ÷ 2 = 13338) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26676 ÷ 3 = 8892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26676 ÷ 4 = 6669) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26676 ÷ 6 = 4446) | 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 | Yes (26676 ÷ 9 = 2964) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26676 ÷ 12 = 2223) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26676 a prime number?
No. 26676 = × × 13 × 19, so it is divisible by 2.
What are the factors of 26676?
1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 27, 36, 38, 39, 52, 54, 57, 76, 78, 108, 114, 117, 156, 171, 228, 234, 247, 342, 351, 468, 494, 513, 684, 702, 741, 988, 1026, 1404, 1482, 2052, 2223, 2964, 4446, 6669, 8892, 13338, 26676.
What is 26676 in binary?
110100000110100 (hexadecimal 6834, octal 64064).
What is the square root of 26676?
About 163.3279, exactly 6√741.
Is 26676 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26676?
26676 is a Harshad number: divisible by its digit sum 27.