The number 53550

Q: Is 53550 a prime number?

No. 53550 = 2 × 3^2 × 5^2 × 7 × 17, so it is divisible by 2.

53550 is a composite number with 72 divisors. Its prime factorisation is 2 × $3^{2}$ × $5^{2}$ × 7 × 17. Divisors (72): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 25, 30, 34 … 53550.

Number

Pick any whole number from 1 to 100,000.

53550 = 2 \times 3^{2} \times 5^{2} \times 7 \times 17

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How to work it out

1
What is special about 53550: a Harshad number: divisible by its digit sum 18.
2
53550 is composite. Its prime factorisation is
$53550 = 2 \times 3^{2} \times 5^{2} \times 7 \times 17$
3
The divisors add up to 174096; without 53550 itself that is 120546, so 53550 is abundant (120546 is more than 53550). Euler's totient φ(53550) = 11520 numbers up to 53550 share no factor with it.
4
The digits of 53550 add up to 18, 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

\[ 53550 = 2 \times 3^{2} \times 5^{2} \times 7 \times 17 \]

53550 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	174096
Euler totient φ(n)	11520
Square	2867602500
Cube	153560113875000
Square root	231.408729 (= 15√238)
Digit sum / digital root	18 / 9
Collatz steps to 1	140
Scientific notation	5.355 × $10^{4}$

53550 in other forms

Form	Value
In words	fifty-three thousand five hundred and fifty
Binary (base 2)	1101000100101110
Octal (base 8)	150456
Hexadecimal (base 16)	D12E
Base 3	2201110100
As time	53550 seconds = 14 h 52 min 30 s

Is 53550 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (53550 ÷ 2 = 26775)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (53550 ÷ 3 = 17850)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (53550 ÷ 5 = 10710)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (53550 ÷ 6 = 8925)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (53550 ÷ 7 = 7650)	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 6)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (53550 ÷ 9 = 5950)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (53550 ÷ 10 = 5355)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53550 a prime number?

No. 53550 = 2 × $3^{2}$ × $5^{2}$ × 7 × 17, so it is divisible by 2.

What are the factors of 53550?

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 25, 30, 34, 35, 42, 45, 50, 51, 63, 70, 75, 85, 90, 102, 105, 119, 126, 150, 153, 170, 175, 210, 225, 238, 255, 306, 315, 350, 357, 425, 450, 510, 525, 595, 630, 714, 765, 850, 1050, 1071, 1190, 1275, 1530, 1575, 1785, 2142, 2550, 2975, 3150, 3570, 3825, 5355, 5950, 7650, 8925, 10710, 17850, 26775, 53550.

What is 53550 in binary?

1101000100101110 (hexadecimal D12E, octal 150456).

What is the square root of 53550?

About 231.4087, exactly 15√238.

Is 53550 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 53550?

53550 is a Harshad number: divisible by its digit sum 18.