The number 50820

Q: Is 50820 a prime number?

No. 50820 = 2^2 × 3 × 5 × 7 × 11^2, so it is divisible by 2.

50820 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × $11^{2}$ . Divisors (72): 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28 … 50820.

Number

Pick any whole number from 1 to 100,000.

50820 = 2^{2} \times 3 \times 5 \times 7 \times 11^{2}

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How to work it out

1
What is special about 50820: a Harshad number: divisible by its digit sum 15.
2
50820 is composite. Its prime factorisation is
$50820 = 2^{2} \times 3 \times 5 \times 7 \times 11^{2}$
3
The divisors add up to 178752; without 50820 itself that is 127932, so 50820 is abundant (127932 is more than 50820). Euler's totient φ(50820) = 10560 numbers up to 50820 share no factor with it.
4
The digits of 50820 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 109 steps to reach 1.

LaTeX source of the formulas on this page

\[ 50820 = 2^{2} \times 3 \times 5 \times 7 \times 11^{2} \]

50820 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	178752
Euler totient φ(n)	10560
Square	2582672400
Cube	131251411368000
Square root	225.432917 (= 22√105)
Digit sum / digital root	15 / 6
Collatz steps to 1	109
Scientific notation	5.082 × $10^{4}$

50820 in other forms

Form	Value
In words	fifty thousand eight hundred and twenty
Binary (base 2)	1100011010000100
Octal (base 8)	143204
Hexadecimal (base 16)	C684
Base 3	2120201020
As time	50820 seconds = 14 h 7 min 0 s

Is 50820 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (50820 ÷ 2 = 25410)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (50820 ÷ 3 = 16940)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (50820 ÷ 4 = 12705)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (50820 ÷ 5 = 10164)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (50820 ÷ 6 = 8470)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (50820 ÷ 7 = 7260)	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	Yes (50820 ÷ 10 = 5082)	A number is divisible by 10 if the last digit is 0.
11	Yes (50820 ÷ 11 = 4620)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (50820 ÷ 12 = 4235)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 50820 a prime number?

No. 50820 = $2^{2}$ × 3 × 5 × 7 × $11^{2}$ , so it is divisible by 2.

What are the factors of 50820?

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 121, 132, 140, 154, 165, 210, 220, 231, 242, 308, 330, 363, 385, 420, 462, 484, 605, 660, 726, 770, 847, 924, 1155, 1210, 1452, 1540, 1694, 1815, 2310, 2420, 2541, 3388, 3630, 4235, 4620, 5082, 7260, 8470, 10164, 12705, 16940, 25410, 50820.

What is 50820 in binary?

1100011010000100 (hexadecimal C684, octal 143204).

What is the square root of 50820?

About 225.4329, exactly 22√105.

Is 50820 divisible by 3?

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

What is special about the number 50820?

50820 is a Harshad number: divisible by its digit sum 15.