The number 52332

Q: Is 52332 a prime number?

No. 52332 = 2^2 × 3 × 7^2 × 89, so it is divisible by 2.

52332 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $7^{2}$ × 89. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 89, 98, 147 … 52332.

Number

Pick any whole number from 1 to 100,000.

52332 = 2^{2} \times 3 \times 7^{2} \times 89

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How to work it out

1
52332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
52332 is composite. Its prime factorisation is
$52332 = 2^{2} \times 3 \times 7^{2} \times 89$
3
The divisors add up to 143640; without 52332 itself that is 91308, so 52332 is abundant (91308 is more than 52332). Euler's totient φ(52332) = 14784 numbers up to 52332 share no factor with it.
4
The digits of 52332 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page

\[ 52332 = 2^{2} \times 3 \times 7^{2} \times 89 \]

52332 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	143640
Euler totient φ(n)	14784
Square	2738638224
Cube	143318415538368
Square root	228.761885 (= 14√267)
Digit sum / digital root	15 / 6
Collatz steps to 1	153
Scientific notation	5.2332 × $10^{4}$

52332 in other forms

Form	Value
In words	fifty-two thousand three hundred and thirty-two
Binary (base 2)	1100110001101100
Octal (base 8)	146154
Hexadecimal (base 16)	CC6C
Base 3	2122210020
As time	52332 seconds = 14 h 32 min 12 s

Is 52332 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (52332 ÷ 2 = 26166)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (52332 ÷ 3 = 17444)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (52332 ÷ 4 = 13083)	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 (52332 ÷ 6 = 8722)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (52332 ÷ 7 = 7476)	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 6)	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 5)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (52332 ÷ 12 = 4361)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52332 a prime number?

No. 52332 = $2^{2}$ × 3 × $7^{2}$ × 89, so it is divisible by 2.

What are the factors of 52332?

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 89, 98, 147, 178, 196, 267, 294, 356, 534, 588, 623, 1068, 1246, 1869, 2492, 3738, 4361, 7476, 8722, 13083, 17444, 26166, 52332.

What is 52332 in binary?

1100110001101100 (hexadecimal CC6C, octal 146154).

What is the square root of 52332?

About 228.7619, exactly 14√267.

Is 52332 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 52332?

It is a composite number with 36 divisors.