The number 87516

Q: Is 87516 a prime number?

No. 87516 = 2^2 × 3^2 × 11 × 13 × 17, so it is divisible by 2.

87516 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 11 × 13 × 17. Divisors (72): 1, 2, 3, 4, 6, 9, 11, 12, 13, 17, 18, 22, 26, 33, 34, 36 … 87516.

Number

Pick any whole number from 1 to 100,000.

87516 = 2^{2} \times 3^{2} \times 11 \times 13 \times 17

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How to work it out

1
87516 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
87516 is composite. Its prime factorisation is
$87516 = 2^{2} \times 3^{2} \times 11 \times 13 \times 17$
3
The divisors add up to 275184; without 87516 itself that is 187668, so 87516 is abundant (187668 is more than 87516). Euler's totient φ(87516) = 23040 numbers up to 87516 share no factor with it.
4
The digits of 87516 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page

\[ 87516 = 2^{2} \times 3^{2} \times 11 \times 13 \times 17 \]

87516 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	275184
Euler totient φ(n)	23040
Square	7659050256
Cube	670289442204096
Square root	295.831033 (= 6√2431)
Digit sum / digital root	27 / 9
Collatz steps to 1	102
Scientific notation	8.7516 × $10^{4}$

87516 in other forms

Form	Value
In words	eighty-seven thousand five hundred and sixteen
Binary (base 2)	10101010111011100
Octal (base 8)	252734
Hexadecimal (base 16)	155DC
Base 3	11110001100
As time	87516 seconds = 24 h 18 min 36 s

Is 87516 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (87516 ÷ 2 = 43758)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (87516 ÷ 3 = 29172)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (87516 ÷ 4 = 21879)	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 (87516 ÷ 6 = 14586)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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 (87516 ÷ 9 = 9724)	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	Yes (87516 ÷ 11 = 7956)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (87516 ÷ 12 = 7293)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87516 a prime number?

No. 87516 = $2^{2}$ × $3^{2}$ × 11 × 13 × 17, so it is divisible by 2.

What are the factors of 87516?

1, 2, 3, 4, 6, 9, 11, 12, 13, 17, 18, 22, 26, 33, 34, 36, 39, 44, 51, 52, 66, 68, 78, 99, 102, 117, 132, 143, 153, 156, 187, 198, 204, 221, 234, 286, 306, 374, 396, 429, 442, 468, 561, 572, 612, 663, 748, 858, 884, 1122, 1287, 1326, 1683, 1716, 1989, 2244, 2431, 2574, 2652, 3366, 3978, 4862, 5148, 6732, 7293, 7956, 9724, 14586, 21879, 29172, 43758, 87516.

What is 87516 in binary?

10101010111011100 (hexadecimal 155DC, octal 252734).

What is the square root of 87516?

About 295.8310, exactly 6√2431.

Is 87516 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 87516?

It is a composite number with 72 divisors.