The number 53438
53438 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 347. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 347, 694, 2429, 3817, 4858, 7634, 26719, 53438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53438 is composite. Its prime factorisation is
- 3
The divisors add up to 100224; without 53438 itself that is 46786, so 53438 is deficient (46786 is less than 53438). Euler's totient φ(53438) = 20760 numbers up to 53438 share no factor with it.
- 4
The digits of 53438 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53438 = 2 \times 7 \times 11 \times 347 \]
53438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100224 |
| Euler totient φ(n) | 20760 |
| Square | 2855619844 |
| Cube | 152598613223672 |
| Square root | 231.166607 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3438 × |
53438 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and thirty-eight |
| Binary (base 2) | 1101000010111110 |
| Octal (base 8) | 150276 |
| Hexadecimal (base 16) | D0BE |
| Base 3 | 2201022012 |
| As time | 53438 seconds = 14 h 50 min 38 s |
Is 53438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53438 ÷ 2 = 26719) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (53438 ÷ 7 = 7634) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53438 ÷ 11 = 4858) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53438 a prime number?
No. 53438 = 2 × 7 × 11 × 347, so it is divisible by 2.
What are the factors of 53438?
1, 2, 7, 11, 14, 22, 77, 154, 347, 694, 2429, 3817, 4858, 7634, 26719, 53438.
What is 53438 in binary?
1101000010111110 (hexadecimal D0BE, octal 150276).
What is the square root of 53438?
About 231.1666.
Is 53438 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53438?
It is a composite number with 16 divisors.