The number 53244
53244 is a composite number with 48 divisors. Its prime factorisation is × × 17 × 29. Divisors (48): 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 29, 34, 36, 51, 54, 58 … 53244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53244: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
53244 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 53244 itself that is 97956, so 53244 is abundant (97956 is more than 53244). Euler's totient φ(53244) = 16128 numbers up to 53244 share no factor with it.
- 4
The digits of 53244 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53244 = 2^{2} \times 3^{3} \times 17 \times 29 \]53244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 16128 |
| Square | 2834923536 |
| Cube | 150942668750784 |
| Square root | 230.746614 (= 6√1479) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3244 × |
53244 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred and forty-four |
| Binary (base 2) | 1100111111111100 |
| Octal (base 8) | 147774 |
| Hexadecimal (base 16) | CFFC |
| Base 3 | 2201001000 |
| As time | 53244 seconds = 14 h 47 min 24 s |
Is 53244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53244 ÷ 2 = 26622) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53244 ÷ 3 = 17748) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53244 ÷ 4 = 13311) | 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 (53244 ÷ 6 = 8874) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53244 ÷ 9 = 5916) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53244 ÷ 12 = 4437) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53244 a prime number?
No. 53244 = × × 17 × 29, so it is divisible by 2.
What are the factors of 53244?
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 29, 34, 36, 51, 54, 58, 68, 87, 102, 108, 116, 153, 174, 204, 261, 306, 348, 459, 493, 522, 612, 783, 918, 986, 1044, 1479, 1566, 1836, 1972, 2958, 3132, 4437, 5916, 8874, 13311, 17748, 26622, 53244.
What is 53244 in binary?
1100111111111100 (hexadecimal CFFC, octal 147774).
What is the square root of 53244?
About 230.7466, exactly 6√1479.
Is 53244 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53244?
53244 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.