The number 80964

Q: Is 80964 a prime number?

No. 80964 = 2^2 × 3^2 × 13 × 173, so it is divisible by 2.

80964 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 13 × 173. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156 … 80964.

Number

Pick any whole number from 1 to 100,000.

80964 = 2^{2} \times 3^{2} \times 13 \times 173

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How to work it out

1
80964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
80964 is composite. Its prime factorisation is
$80964 = 2^{2} \times 3^{2} \times 13 \times 173$
3
The divisors add up to 221676; without 80964 itself that is 140712, so 80964 is abundant (140712 is more than 80964). Euler's totient φ(80964) = 24768 numbers up to 80964 share no factor with it.
4
The digits of 80964 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 76 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80964 = 2^{2} \times 3^{2} \times 13 \times 173 \]

80964 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	221676
Euler totient φ(n)	24768
Square	6555169296
Cube	530732726881344
Square root	284.541737 (= 6√2249)
Digit sum / digital root	27 / 9
Collatz steps to 1	76
Scientific notation	8.0964 × $10^{4}$

80964 in other forms

Form	Value
In words	eighty thousand nine hundred and sixty-four
Binary (base 2)	10011110001000100
Octal (base 8)	236104
Hexadecimal (base 16)	13C44
Base 3	11010001200
As time	80964 seconds = 22 h 29 min 24 s

Is 80964 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80964 ÷ 2 = 40482)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80964 ÷ 3 = 26988)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80964 ÷ 4 = 20241)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80964 ÷ 6 = 13494)	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 (80964 ÷ 9 = 8996)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80964 ÷ 12 = 6747)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80964 a prime number?

No. 80964 = $2^{2}$ × $3^{2}$ × 13 × 173, so it is divisible by 2.

What are the factors of 80964?

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 173, 234, 346, 468, 519, 692, 1038, 1557, 2076, 2249, 3114, 4498, 6228, 6747, 8996, 13494, 20241, 26988, 40482, 80964.

What is 80964 in binary?

10011110001000100 (hexadecimal 13C44, octal 236104).

What is the square root of 80964?

About 284.5417, exactly 6√2249.

Is 80964 divisible by 3?

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

What is special about the number 80964?

It is a composite number with 36 divisors.