The number 53448
53448 is a composite number with 32 divisors. Its prime factorisation is × 3 × 17 × 131. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 131, 136, 204 … 53448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53448: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
53448 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 53448 itself that is 89112, so 53448 is abundant (89112 is more than 53448). Euler's totient φ(53448) = 16640 numbers up to 53448 share no factor with it.
- 4
The digits of 53448 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53448 = 2^{3} \times 3 \times 17 \times 131 \]53448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 16640 |
| Square | 2856688704 |
| Cube | 152684297851392 |
| Square root | 231.188235 (= 2√13362) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3448 × |
53448 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and forty-eight |
| Binary (base 2) | 1101000011001000 |
| Octal (base 8) | 150310 |
| Hexadecimal (base 16) | D0C8 |
| Base 3 | 2201022120 |
| As time | 53448 seconds = 14 h 50 min 48 s |
Is 53448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53448 ÷ 2 = 26724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53448 ÷ 3 = 17816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53448 ÷ 4 = 13362) | 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 | Yes (53448 ÷ 6 = 8908) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (53448 ÷ 8 = 6681) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53448 ÷ 12 = 4454) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53448 a prime number?
No. 53448 = × 3 × 17 × 131, so it is divisible by 2.
What are the factors of 53448?
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 131, 136, 204, 262, 393, 408, 524, 786, 1048, 1572, 2227, 3144, 4454, 6681, 8908, 13362, 17816, 26724, 53448.
What is 53448 in binary?
1101000011001000 (hexadecimal D0C8, octal 150310).
What is the square root of 53448?
About 231.1882, exactly 2√13362.
Is 53448 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53448?
53448 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.