The number 53532
53532 is a composite number with 18 divisors. Its prime factorisation is × × 1487. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1487, 2974, 4461, 5948, 8922, 13383, 17844 … 53532.
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How to work it out
- 1
What is special about 53532: a Harshad number: divisible by its digit sum 18.
- 2
53532 is composite. Its prime factorisation is
- 3
The divisors add up to 135408; without 53532 itself that is 81876, so 53532 is abundant (81876 is more than 53532). Euler's totient φ(53532) = 17832 numbers up to 53532 share no factor with it.
- 4
The digits of 53532 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53532 = 2^{2} \times 3^{2} \times 1487 \]53532 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 135408 |
| Euler totient φ(n) | 17832 |
| Square | 2865675024 |
| Cube | 153405315384768 |
| Square root | 231.369834 (= 6√1487) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3532 × |
53532 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and thirty-two |
| Binary (base 2) | 1101000100011100 |
| Octal (base 8) | 150434 |
| Hexadecimal (base 16) | D11C |
| Base 3 | 2201102200 |
| As time | 53532 seconds = 14 h 52 min 12 s |
Is 53532 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53532 ÷ 2 = 26766) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53532 ÷ 3 = 17844) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53532 ÷ 4 = 13383) | 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 (53532 ÷ 6 = 8922) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53532 ÷ 9 = 5948) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53532 ÷ 12 = 4461) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53532 a prime number?
No. 53532 = × × 1487, so it is divisible by 2.
What are the factors of 53532?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1487, 2974, 4461, 5948, 8922, 13383, 17844, 26766, 53532.
What is 53532 in binary?
1101000100011100 (hexadecimal D11C, octal 150434).
What is the square root of 53532?
About 231.3698, exactly 6√1487.
Is 53532 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53532?
53532 is a Harshad number: divisible by its digit sum 18.