The number 96348

Q: Is 96348 a prime number?

No. 96348 = 2^2 × 3 × 7 × 31 × 37, so it is divisible by 2.

96348 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 7 × 31 × 37. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 37, 42, 62, 74, 84 … 96348.

Number

Pick any whole number from 1 to 100,000.

96348 = 2^{2} \times 3 \times 7 \times 31 \times 37

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How to work it out

1
96348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
96348 is composite. Its prime factorisation is
$96348 = 2^{2} \times 3 \times 7 \times 31 \times 37$
3
The divisors add up to 272384; without 96348 itself that is 176036, so 96348 is abundant (176036 is more than 96348). Euler's totient φ(96348) = 25920 numbers up to 96348 share no factor with it.
4
The digits of 96348 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.

LaTeX source of the formulas on this page

\[ 96348 = 2^{2} \times 3 \times 7 \times 31 \times 37 \]

96348 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	272384
Euler totient φ(n)	25920
Square	9282937104
Cube	894392424096192
Square root	310.399742 (= 2√24087)
Digit sum / digital root	30 / 3
Collatz steps to 1	53
Scientific notation	9.6348 × $10^{4}$

96348 in other forms

Form	Value
In words	ninety-six thousand three hundred and forty-eight
Binary (base 2)	10111100001011100
Octal (base 8)	274134
Hexadecimal (base 16)	1785C
Base 3	11220011110
As time	96348 seconds = 26 h 45 min 48 s

Is 96348 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (96348 ÷ 2 = 48174)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (96348 ÷ 3 = 32116)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (96348 ÷ 4 = 24087)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (96348 ÷ 6 = 16058)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (96348 ÷ 7 = 13764)	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	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (96348 ÷ 12 = 8029)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96348 a prime number?

No. 96348 = $2^{2}$ × 3 × 7 × 31 × 37, so it is divisible by 2.

What are the factors of 96348?

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 37, 42, 62, 74, 84, 93, 111, 124, 148, 186, 217, 222, 259, 372, 434, 444, 518, 651, 777, 868, 1036, 1147, 1302, 1554, 2294, 2604, 3108, 3441, 4588, 6882, 8029, 13764, 16058, 24087, 32116, 48174, 96348.

What is 96348 in binary?

10111100001011100 (hexadecimal 1785C, octal 274134).

What is the square root of 96348?

About 310.3997, exactly 2√24087.

Is 96348 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 96348?

It is a composite number with 48 divisors.