The number 53948
53948 is a composite number with 6 divisors. Its prime factorisation is × 13487. Divisors (6): 1, 2, 4, 13487, 26974, 53948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53948 is composite. Its prime factorisation is
- 3
The divisors add up to 94416; without 53948 itself that is 40468, so 53948 is deficient (40468 is less than 53948). Euler's totient φ(53948) = 26972 numbers up to 53948 share no factor with it.
- 4
The digits of 53948 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53948 = 2^{2} \times 13487 \]53948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 94416 |
| Euler totient φ(n) | 26972 |
| Square | 2910386704 |
| Cube | 157009541907392 |
| Square root | 232.267088 (= 2√13487) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3948 × |
53948 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and forty-eight |
| Binary (base 2) | 1101001010111100 |
| Octal (base 8) | 151274 |
| Hexadecimal (base 16) | D2BC |
| Base 3 | 2202000002 |
| As time | 53948 seconds = 14 h 59 min 8 s |
Is 53948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53948 ÷ 2 = 26974) | 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 (53948 ÷ 4 = 13487) | 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 | 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 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53948 a prime number?
No. 53948 = × 13487, so it is divisible by 2.
What are the factors of 53948?
1, 2, 4, 13487, 26974, 53948.
What is 53948 in binary?
1101001010111100 (hexadecimal D2BC, octal 151274).
What is the square root of 53948?
About 232.2671, exactly 2√13487.
Is 53948 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 53948?
It is a composite number with 6 divisors.