The number 53472
53472 is a composite number with 24 divisors. Its prime factorisation is × 3 × 557. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 557, 1114, 1671, 2228 … 53472.
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How to work it out
- 1
What is special about 53472: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53472 is composite. Its prime factorisation is
- 3
The divisors add up to 140616; without 53472 itself that is 87144, so 53472 is abundant (87144 is more than 53472). Euler's totient φ(53472) = 17792 numbers up to 53472 share no factor with it.
- 4
The digits of 53472 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53472 = 2^{5} \times 3 \times 557 \]53472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 140616 |
| Euler totient φ(n) | 17792 |
| Square | 2859254784 |
| Cube | 152890071810048 |
| Square root | 231.240135 (= 4√3342) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3472 × |
53472 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and seventy-two |
| Binary (base 2) | 1101000011100000 |
| Octal (base 8) | 150340 |
| Hexadecimal (base 16) | D0E0 |
| Base 3 | 2201100110 |
| As time | 53472 seconds = 14 h 51 min 12 s |
Is 53472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53472 ÷ 2 = 26736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53472 ÷ 3 = 17824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53472 ÷ 4 = 13368) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53472 ÷ 6 = 8912) | 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 | Yes (53472 ÷ 8 = 6684) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53472 ÷ 12 = 4456) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53472 a prime number?
No. 53472 = × 3 × 557, so it is divisible by 2.
What are the factors of 53472?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 557, 1114, 1671, 2228, 3342, 4456, 6684, 8912, 13368, 17824, 26736, 53472.
What is 53472 in binary?
1101000011100000 (hexadecimal D0E0, octal 150340).
What is the square root of 53472?
About 231.2401, exactly 4√3342.
Is 53472 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53472?
53472 is a happy number: repeatedly adding the squares of its digits reaches 1.