The number 52020

Q: Is 52020 a prime number?

No. 52020 = 2^2 × 3^2 × 5 × 17^2, so it is divisible by 2.

52020 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × $17^{2}$ . Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36 … 52020.

Number

Pick any whole number from 1 to 100,000.

52020 = 2^{2} \times 3^{2} \times 5 \times 17^{2}

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How to work it out

1
What is special about 52020: a Harshad number: divisible by its digit sum 9.
2
52020 is composite. Its prime factorisation is
$52020 = 2^{2} \times 3^{2} \times 5 \times 17^{2}$
3
The divisors add up to 167622; without 52020 itself that is 115602, so 52020 is abundant (115602 is more than 52020). Euler's totient φ(52020) = 13056 numbers up to 52020 share no factor with it.
4
The digits of 52020 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page

\[ 52020 = 2^{2} \times 3^{2} \times 5 \times 17^{2} \]

52020 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	167622
Euler totient φ(n)	13056
Square	2706080400
Cube	140770302408000
Square root	228.078934 (= 102√5)
Digit sum / digital root	9 / 9
Collatz steps to 1	140
Scientific notation	5.202 × $10^{4}$

52020 in other forms

Form	Value
In words	fifty-two thousand and twenty
Binary (base 2)	1100101100110100
Octal (base 8)	145464
Hexadecimal (base 16)	CB34
Base 3	2122100200
As time	52020 seconds = 14 h 27 min 0 s

Is 52020 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (52020 ÷ 2 = 26010)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (52020 ÷ 3 = 17340)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (52020 ÷ 4 = 13005)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (52020 ÷ 5 = 10404)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (52020 ÷ 6 = 8670)	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 (52020 ÷ 9 = 5780)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (52020 ÷ 10 = 5202)	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 (52020 ÷ 12 = 4335)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52020 a prime number?

No. 52020 = $2^{2}$ × $3^{2}$ × 5 × $17^{2}$ , so it is divisible by 2.

What are the factors of 52020?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 289, 306, 340, 510, 578, 612, 765, 867, 1020, 1156, 1445, 1530, 1734, 2601, 2890, 3060, 3468, 4335, 5202, 5780, 8670, 10404, 13005, 17340, 26010, 52020.

What is 52020 in binary?

1100101100110100 (hexadecimal CB34, octal 145464).

What is the square root of 52020?

About 228.0789, exactly 102√5.

Is 52020 divisible by 3?

Yes. Its digits add up to 9, a multiple of 3.

What is special about the number 52020?

52020 is a Harshad number: divisible by its digit sum 9.