The number 60516

Q: Is 60516 a prime number?

No. 60516 = 2^2 × 3^2 × 41^2, so it is divisible by 2.

60516 is a perfect square (246²). Its prime factorisation is $2^{2}$ × $3^{2}$ × $41^{2}$ . Divisors (27): 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492 … 60516.

Number

Pick any whole number from 1 to 100,000.

60516 = 2^{2} \times 3^{2} \times 41^{2}

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

How to work it out

1
What is special about 60516: a perfect square (246²); a Harshad number: divisible by its digit sum 18.
2
60516 is composite. Its prime factorisation is
$60516 = 2^{2} \times 3^{2} \times 41^{2}$
3
The divisors add up to 156793; without 60516 itself that is 96277, so 60516 is abundant (96277 is more than 60516). Euler's totient φ(60516) = 19680 numbers up to 60516 share no factor with it.
4
The digits of 60516 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 210 steps to reach 1.

LaTeX source of the formulas on this page

\[ 60516 = 2^{2} \times 3^{2} \times 41^{2} \]

60516 at a glance

Property	Value
Type	composite
Number of divisors	27
Sum of divisors	156793
Euler totient φ(n)	19680
Square	3662186256
Cube	221620863468096
Square root	246
Digit sum / digital root	18 / 9
Collatz steps to 1	210
Scientific notation	6.0516 × $10^{4}$
Perfect power	$246^{2}$

60516 in other forms

Form	Value
In words	sixty thousand five hundred and sixteen
Binary (base 2)	1110110001100100
Octal (base 8)	166144
Hexadecimal (base 16)	EC64
Base 3	10002000100
As time	60516 seconds = 16 h 48 min 36 s

Is 60516 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (60516 ÷ 2 = 30258)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (60516 ÷ 3 = 20172)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (60516 ÷ 4 = 15129)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (60516 ÷ 6 = 10086)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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 (60516 ÷ 9 = 6724)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 5)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (60516 ÷ 12 = 5043)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60516 a prime number?

No. 60516 = $2^{2}$ × $3^{2}$ × $41^{2}$ , so it is divisible by 2.

What are the factors of 60516?

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476, 1681, 3362, 5043, 6724, 10086, 15129, 20172, 30258, 60516.

What is 60516 in binary?

1110110001100100 (hexadecimal EC64, octal 166144).

What is the square root of 60516?

246, because 246 × 246 = 60516.

Is 60516 divisible by 3?

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

What is special about the number 60516?

60516 is a perfect square (246²); a Harshad number: divisible by its digit sum 18.