The number 50232

Q: Is 50232 a prime number?

No. 50232 = 2^3 × 3 × 7 × 13 × 23, so it is divisible by 2.

50232 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 7 × 13 × 23. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 23, 24, 26, 28, 39 … 50232.

Number

Pick any whole number from 1 to 100,000.

50232 = 2^{3} \times 3 \times 7 \times 13 \times 23

Explain it step by step in chat Make a short video of it

How to work it out

1
What is special about 50232: a Harshad number: divisible by its digit sum 12.
2
50232 is composite. Its prime factorisation is
$50232 = 2^{3} \times 3 \times 7 \times 13 \times 23$
3
The divisors add up to 161280; without 50232 itself that is 111048, so 50232 is abundant (111048 is more than 50232). Euler's totient φ(50232) = 12672 numbers up to 50232 share no factor with it.
4
The digits of 50232 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page

\[ 50232 = 2^{3} \times 3 \times 7 \times 13 \times 23 \]

50232 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	161280
Euler totient φ(n)	12672
Square	2523253824
Cube	126748086087168
Square root	224.124965 (= 2√12558)
Digit sum / digital root	12 / 3
Collatz steps to 1	109
Scientific notation	5.0232 × $10^{4}$

50232 in other forms

Form	Value
In words	fifty thousand two hundred and thirty-two
Binary (base 2)	1100010000111000
Octal (base 8)	142070
Hexadecimal (base 16)	C438
Base 3	2112220110
As time	50232 seconds = 13 h 57 min 12 s

Is 50232 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (50232 ÷ 2 = 25116)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (50232 ÷ 3 = 16744)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (50232 ÷ 4 = 12558)	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 (50232 ÷ 6 = 8372)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (50232 ÷ 7 = 7176)	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 (50232 ÷ 8 = 6279)	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 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (50232 ÷ 12 = 4186)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50232 a prime number?

No. 50232 = $2^{3}$ × 3 × 7 × 13 × 23, so it is divisible by 2.

What are the factors of 50232?

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 23, 24, 26, 28, 39, 42, 46, 52, 56, 69, 78, 84, 91, 92, 104, 138, 156, 161, 168, 182, 184, 273, 276, 299, 312, 322, 364, 483, 546, 552, 598, 644, 728, 897, 966, 1092, 1196, 1288, 1794, 1932, 2093, 2184, 2392, 3588, 3864, 4186, 6279, 7176, 8372, 12558, 16744, 25116, 50232.

What is 50232 in binary?

1100010000111000 (hexadecimal C438, octal 142070).

What is the square root of 50232?

About 224.1250, exactly 2√12558.

Is 50232 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 50232?

50232 is a Harshad number: divisible by its digit sum 12.