The number 24444
24444 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 97. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 24444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24444: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
24444 is composite. Its prime factorisation is
- 3
The divisors add up to 71344; without 24444 itself that is 46900, so 24444 is abundant (46900 is more than 24444). Euler's totient φ(24444) = 6912 numbers up to 24444 share no factor with it.
- 4
The digits of 24444 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24444 = 2^{2} \times 3^{2} \times 7 \times 97 \]24444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 71344 |
| Euler totient φ(n) | 6912 |
| Square | 597509136 |
| Cube | 14605513320384 |
| Square root | 156.345771 (= 6√679) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4444 × |
24444 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and forty-four |
| Binary (base 2) | 101111101111100 |
| Octal (base 8) | 57574 |
| Hexadecimal (base 16) | 5F7C |
| Base 3 | 1020112100 |
| As time | 24444 seconds = 6 h 47 min 24 s |
Is 24444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24444 ÷ 2 = 12222) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24444 ÷ 3 = 8148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24444 ÷ 4 = 6111) | 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 (24444 ÷ 6 = 4074) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24444 ÷ 7 = 3492) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24444 ÷ 9 = 2716) | 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 (24444 ÷ 12 = 2037) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24444 a prime number?
No. 24444 = × × 7 × 97, so it is divisible by 2.
What are the factors of 24444?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 97, 126, 194, 252, 291, 388, 582, 679, 873, 1164, 1358, 1746, 2037, 2716, 3492, 4074, 6111, 8148, 12222, 24444.
What is 24444 in binary?
101111101111100 (hexadecimal 5F7C, octal 57574).
What is the square root of 24444?
About 156.3458, exactly 6√679.
Is 24444 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24444?
24444 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.