The number 96492

Q: Is 96492 a prime number?

No. 96492 = 2^2 × 3 × 11 × 17 × 43, so it is divisible by 2.

96492 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 11 × 17 × 43. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 43, 44, 51, 66, 68 … 96492.

Number

Pick any whole number from 1 to 100,000.

96492 = 2^{2} \times 3 \times 11 \times 17 \times 43

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

How to work it out

1
96492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
96492 is composite. Its prime factorisation is
$96492 = 2^{2} \times 3 \times 11 \times 17 \times 43$
3
The divisors add up to 266112; without 96492 itself that is 169620, so 96492 is abundant (169620 is more than 96492). Euler's totient φ(96492) = 26880 numbers up to 96492 share no factor with it.
4
The digits of 96492 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 45 steps to reach 1.

LaTeX source of the formulas on this page

\[ 96492 = 2^{2} \times 3 \times 11 \times 17 \times 43 \]

96492 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	266112
Euler totient φ(n)	26880
Square	9310706064
Cube	898408649527488
Square root	310.631615 (= 2√24123)
Digit sum / digital root	30 / 3
Collatz steps to 1	45
Scientific notation	9.6492 × $10^{4}$

96492 in other forms

Form	Value
In words	ninety-six thousand four hundred and ninety-two
Binary (base 2)	10111100011101100
Octal (base 8)	274354
Hexadecimal (base 16)	178EC
Base 3	11220100210
As time	96492 seconds = 26 h 48 min 12 s

Is 96492 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (96492 ÷ 2 = 48246)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (96492 ÷ 3 = 32164)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (96492 ÷ 4 = 24123)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (96492 ÷ 6 = 16082)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	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 2)	A number is divisible by 10 if the last digit is 0.
11	Yes (96492 ÷ 11 = 8772)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (96492 ÷ 12 = 8041)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 96492 a prime number?

No. 96492 = $2^{2}$ × 3 × 11 × 17 × 43, so it is divisible by 2.

What are the factors of 96492?

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 43, 44, 51, 66, 68, 86, 102, 129, 132, 172, 187, 204, 258, 374, 473, 516, 561, 731, 748, 946, 1122, 1419, 1462, 1892, 2193, 2244, 2838, 2924, 4386, 5676, 8041, 8772, 16082, 24123, 32164, 48246, 96492.

What is 96492 in binary?

10111100011101100 (hexadecimal 178EC, octal 274354).

What is the square root of 96492?

About 310.6316, exactly 2√24123.

Is 96492 divisible by 3?

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

What is special about the number 96492?

It is a composite number with 48 divisors.