The number 26649
26649 is a composite number with 20 divisors. Its prime factorisation is × 7 × 47. Divisors (20): 1, 3, 7, 9, 21, 27, 47, 63, 81, 141, 189, 329, 423, 567, 987, 1269 … 26649.
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How to work it out
- 1
What is special about 26649: a Harshad number: divisible by its digit sum 27.
- 2
26649 is composite. Its prime factorisation is
- 3
The divisors add up to 46464; without 26649 itself that is 19815, so 26649 is deficient (19815 is less than 26649). Euler's totient φ(26649) = 14904 numbers up to 26649 share no factor with it.
- 4
The digits of 26649 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26649 = 3^{4} \times 7 \times 47 \]26649 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 46464 |
| Euler totient φ(n) | 14904 |
| Square | 710169201 |
| Cube | 18925299037449 |
| Square root | 163.245214 (= 9√329) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6649 × |
26649 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and forty-nine |
| Binary (base 2) | 110100000011001 |
| Octal (base 8) | 64031 |
| Hexadecimal (base 16) | 6819 |
| Base 3 | 1100120000 |
| As time | 26649 seconds = 7 h 24 min 9 s |
Is 26649 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 (26649 ÷ 3 = 8883) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26649 ÷ 7 = 3807) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26649 ÷ 9 = 2961) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26649 a prime number?
No. 26649 = × 7 × 47, so it is divisible by 3.
What are the factors of 26649?
1, 3, 7, 9, 21, 27, 47, 63, 81, 141, 189, 329, 423, 567, 987, 1269, 2961, 3807, 8883, 26649.
What is 26649 in binary?
110100000011001 (hexadecimal 6819, octal 64031).
What is the square root of 26649?
About 163.2452, exactly 9√329.
Is 26649 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26649?
26649 is a Harshad number: divisible by its digit sum 27.