The number 55020

Q: Is 55020 a prime number?

No. 55020 = 2^2 × 3 × 5 × 7 × 131, so it is divisible by 2.

55020 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 131. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 55020.

Number

Pick any whole number from 1 to 100,000.

55020 = 2^{2} \times 3 \times 5 \times 7 \times 131

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How to work it out

1
What is special about 55020: a Harshad number: divisible by its digit sum 12.
2
55020 is composite. Its prime factorisation is
$55020 = 2^{2} \times 3 \times 5 \times 7 \times 131$
3
The divisors add up to 177408; without 55020 itself that is 122388, so 55020 is abundant (122388 is more than 55020). Euler's totient φ(55020) = 12480 numbers up to 55020 share no factor with it.
4
The digits of 55020 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 184 steps to reach 1.

LaTeX source of the formulas on this page

\[ 55020 = 2^{2} \times 3 \times 5 \times 7 \times 131 \]

55020 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	177408
Euler totient φ(n)	12480
Square	3027200400
Cube	166556566008000
Square root	234.563424 (= 2√13755)
Digit sum / digital root	12 / 3
Collatz steps to 1	184
Scientific notation	5.502 × $10^{4}$

55020 in other forms

Form	Value
In words	fifty-five thousand and twenty
Binary (base 2)	1101011011101100
Octal (base 8)	153354
Hexadecimal (base 16)	D6EC
Base 3	2210110210
As time	55020 seconds = 15 h 17 min 0 s

Is 55020 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (55020 ÷ 2 = 27510)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (55020 ÷ 3 = 18340)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (55020 ÷ 4 = 13755)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (55020 ÷ 5 = 11004)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (55020 ÷ 6 = 9170)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (55020 ÷ 7 = 7860)	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 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (55020 ÷ 10 = 5502)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (55020 ÷ 12 = 4585)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55020 a prime number?

No. 55020 = $2^{2}$ × 3 × 5 × 7 × 131, so it is divisible by 2.

What are the factors of 55020?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 131, 140, 210, 262, 393, 420, 524, 655, 786, 917, 1310, 1572, 1834, 1965, 2620, 2751, 3668, 3930, 4585, 5502, 7860, 9170, 11004, 13755, 18340, 27510, 55020.

What is 55020 in binary?

1101011011101100 (hexadecimal D6EC, octal 153354).

What is the square root of 55020?

About 234.5634, exactly 2√13755.

Is 55020 divisible by 3?

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

What is special about the number 55020?

55020 is a Harshad number: divisible by its digit sum 12.