The number 26424
26424 is a composite number with 24 divisors. Its prime factorisation is × × 367. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 367, 734, 1101, 1468 … 26424.
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How to work it out
- 1
What is special about 26424: a Harshad number: divisible by its digit sum 18.
- 2
26424 is composite. Its prime factorisation is
- 3
The divisors add up to 71760; without 26424 itself that is 45336, so 26424 is abundant (45336 is more than 26424). Euler's totient φ(26424) = 8784 numbers up to 26424 share no factor with it.
- 4
The digits of 26424 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
\[ 26424 = 2^{3} \times 3^{2} \times 367 \]26424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 71760 |
| Euler totient φ(n) | 8784 |
| Square | 698227776 |
| Cube | 18449970753024 |
| Square root | 162.554606 (= 6√734) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6424 × |
26424 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and twenty-four |
| Binary (base 2) | 110011100111000 |
| Octal (base 8) | 63470 |
| Hexadecimal (base 16) | 6738 |
| Base 3 | 1100020200 |
| As time | 26424 seconds = 7 h 20 min 24 s |
Is 26424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26424 ÷ 2 = 13212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26424 ÷ 3 = 8808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26424 ÷ 4 = 6606) | 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 (26424 ÷ 6 = 4404) | 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 | Yes (26424 ÷ 8 = 3303) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26424 ÷ 9 = 2936) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26424 ÷ 12 = 2202) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26424 a prime number?
No. 26424 = × × 367, so it is divisible by 2.
What are the factors of 26424?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 6606, 8808, 13212, 26424.
What is 26424 in binary?
110011100111000 (hexadecimal 6738, octal 63470).
What is the square root of 26424?
About 162.5546, exactly 6√734.
Is 26424 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26424?
26424 is a Harshad number: divisible by its digit sum 18.