The number 24426
24426 is a composite number with 24 divisors. Its prime factorisation is 2 × × 23 × 59. Divisors (24): 1, 2, 3, 6, 9, 18, 23, 46, 59, 69, 118, 138, 177, 207, 354, 414 … 24426.
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How to work it out
- 1
What is special about 24426: a Harshad number: divisible by its digit sum 18.
- 2
24426 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 24426 itself that is 31734, so 24426 is abundant (31734 is more than 24426). Euler's totient φ(24426) = 7656 numbers up to 24426 share no factor with it.
- 4
The digits of 24426 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24426 = 2 \times 3^{2} \times 23 \times 59 \]24426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 7656 |
| Square | 596629476 |
| Cube | 14573271580776 |
| Square root | 156.288195 (= 3√2714) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4426 × |
24426 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and twenty-six |
| Binary (base 2) | 101111101101010 |
| Octal (base 8) | 57552 |
| Hexadecimal (base 16) | 5F6A |
| Base 3 | 1020111200 |
| As time | 24426 seconds = 6 h 47 min 6 s |
Is 24426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24426 ÷ 2 = 12213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24426 ÷ 3 = 8142) | 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 (24426 ÷ 6 = 4071) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24426 ÷ 9 = 2714) | 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 24426 a prime number?
No. 24426 = 2 × × 23 × 59, so it is divisible by 2.
What are the factors of 24426?
1, 2, 3, 6, 9, 18, 23, 46, 59, 69, 118, 138, 177, 207, 354, 414, 531, 1062, 1357, 2714, 4071, 8142, 12213, 24426.
What is 24426 in binary?
101111101101010 (hexadecimal 5F6A, octal 57552).
What is the square root of 24426?
About 156.2882, exactly 3√2714.
Is 24426 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24426?
24426 is a Harshad number: divisible by its digit sum 18.