The number 96624

Q: Is 96624 a prime number?

No. 96624 = 2^4 × 3^2 × 11 × 61, so it is divisible by 2.

96624 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × 11 × 61. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44 … 96624.

Number

Pick any whole number from 1 to 100,000.

96624 = 2^{4} \times 3^{2} \times 11 \times 61

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How to work it out

1
96624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
96624 is composite. Its prime factorisation is
$96624 = 2^{4} \times 3^{2} \times 11 \times 61$
3
The divisors add up to 299832; without 96624 itself that is 203208, so 96624 is abundant (203208 is more than 96624). Euler's totient φ(96624) = 28800 numbers up to 96624 share no factor with it.
4
The digits of 96624 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 71 steps to reach 1.

LaTeX source of the formulas on this page

\[ 96624 = 2^{4} \times 3^{2} \times 11 \times 61 \]

96624 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	299832
Euler totient φ(n)	28800
Square	9336197376
Cube	902100735258624
Square root	310.844012 (= 12√671)
Digit sum / digital root	27 / 9
Collatz steps to 1	71
Scientific notation	9.6624 × $10^{4}$

96624 in other forms

Form	Value
In words	ninety-six thousand six hundred and twenty-four
Binary (base 2)	10111100101110000
Octal (base 8)	274560
Hexadecimal (base 16)	17970
Base 3	11220112200
As time	96624 seconds = 26 h 50 min 24 s

Is 96624 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (96624 ÷ 2 = 48312)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (96624 ÷ 3 = 32208)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (96624 ÷ 4 = 24156)	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 (96624 ÷ 6 = 16104)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	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	Yes (96624 ÷ 8 = 12078)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (96624 ÷ 9 = 10736)	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	Yes (96624 ÷ 11 = 8784)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (96624 ÷ 12 = 8052)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96624 a prime number?

No. 96624 = $2^{4}$ × $3^{2}$ × 11 × 61, so it is divisible by 2.

What are the factors of 96624?

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 61, 66, 72, 88, 99, 122, 132, 144, 176, 183, 198, 244, 264, 366, 396, 488, 528, 549, 671, 732, 792, 976, 1098, 1342, 1464, 1584, 2013, 2196, 2684, 2928, 4026, 4392, 5368, 6039, 8052, 8784, 10736, 12078, 16104, 24156, 32208, 48312, 96624.

What is 96624 in binary?

10111100101110000 (hexadecimal 17970, octal 274560).

What is the square root of 96624?

About 310.8440, exactly 12√671.

Is 96624 divisible by 3?

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

What is special about the number 96624?

It is a composite number with 60 divisors.