The number 26406
26406 is a composite number with 20 divisors. Its prime factorisation is 2 × × 163. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 163, 326, 489, 978, 1467, 2934 … 26406.
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How to work it out
- 1
What is special about 26406: a Harshad number: divisible by its digit sum 18.
- 2
26406 is composite. Its prime factorisation is
- 3
The divisors add up to 59532; without 26406 itself that is 33126, so 26406 is abundant (33126 is more than 26406). Euler's totient φ(26406) = 8748 numbers up to 26406 share no factor with it.
- 4
The digits of 26406 add up to 18, 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
\[ 26406 = 2 \times 3^{4} \times 163 \]26406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 59532 |
| Euler totient φ(n) | 8748 |
| Square | 697276836 |
| Cube | 18412292131416 |
| Square root | 162.499231 (= 9√326) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6406 × |
26406 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and six |
| Binary (base 2) | 110011100100110 |
| Octal (base 8) | 63446 |
| Hexadecimal (base 16) | 6726 |
| Base 3 | 1100020000 |
| As time | 26406 seconds = 7 h 20 min 6 s |
Is 26406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26406 ÷ 2 = 13203) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26406 ÷ 3 = 8802) | 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 | Yes (26406 ÷ 6 = 4401) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26406 ÷ 9 = 2934) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26406 a prime number?
No. 26406 = 2 × × 163, so it is divisible by 2.
What are the factors of 26406?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 163, 326, 489, 978, 1467, 2934, 4401, 8802, 13203, 26406.
What is 26406 in binary?
110011100100110 (hexadecimal 6726, octal 63446).
What is the square root of 26406?
About 162.4992, exactly 9√326.
Is 26406 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26406?
26406 is a Harshad number: divisible by its digit sum 18.