The number 26726
26726 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 83. Divisors (16): 1, 2, 7, 14, 23, 46, 83, 161, 166, 322, 581, 1162, 1909, 3818, 13363, 26726.
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How to work it out
- 1
What is special about 26726: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.
- 2
26726 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 26726 itself that is 21658, so 26726 is deficient (21658 is less than 26726). Euler's totient φ(26726) = 10824 numbers up to 26726 share no factor with it.
- 4
The digits of 26726 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26726 = 2 \times 7 \times 23 \times 83 \]
26726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 10824 |
| Square | 714279076 |
| Cube | 19089822585176 |
| Square root | 163.480886 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.6726 × |
26726 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and twenty-six |
| Binary (base 2) | 110100001100110 |
| Octal (base 8) | 64146 |
| Hexadecimal (base 16) | 6866 |
| Base 3 | 1100122212 |
| As time | 26726 seconds = 7 h 25 min 26 s |
Is 26726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26726 ÷ 2 = 13363) | 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 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26726 ÷ 7 = 3818) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26726 a prime number?
No. 26726 = 2 × 7 × 23 × 83, so it is divisible by 2.
What are the factors of 26726?
1, 2, 7, 14, 23, 46, 83, 161, 166, 322, 581, 1162, 1909, 3818, 13363, 26726.
What is 26726 in binary?
110100001100110 (hexadecimal 6866, octal 64146).
What is the square root of 26726?
About 163.4809.
Is 26726 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 26726?
26726 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.