The number 53444
53444 is a composite number with 12 divisors. Its prime factorisation is × 31 × 431. Divisors (12): 1, 2, 4, 31, 62, 124, 431, 862, 1724, 13361, 26722, 53444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53444: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53444 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 53444 itself that is 43324, so 53444 is deficient (43324 is less than 53444). Euler's totient φ(53444) = 25800 numbers up to 53444 share no factor with it.
- 4
The digits of 53444 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53444 = 2^{2} \times 31 \times 431 \]53444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 25800 |
| Square | 2856261136 |
| Cube | 152650020152384 |
| Square root | 231.179584 (= 2√13361) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3444 × |
53444 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and forty-four |
| Binary (base 2) | 1101000011000100 |
| Octal (base 8) | 150304 |
| Hexadecimal (base 16) | D0C4 |
| Base 3 | 2201022102 |
| As time | 53444 seconds = 14 h 50 min 44 s |
Is 53444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53444 ÷ 2 = 26722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53444 ÷ 4 = 13361) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53444 a prime number?
No. 53444 = × 31 × 431, so it is divisible by 2.
What are the factors of 53444?
1, 2, 4, 31, 62, 124, 431, 862, 1724, 13361, 26722, 53444.
What is 53444 in binary?
1101000011000100 (hexadecimal D0C4, octal 150304).
What is the square root of 53444?
About 231.1796, exactly 2√13361.
Is 53444 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53444?
53444 is a happy number: repeatedly adding the squares of its digits reaches 1.