The number 30492

Q: Is 30492 a prime number?

No. 30492 = 2^2 × 3^2 × 7 × 11^2, so it is divisible by 2.

30492 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 7 × $11^{2}$ . Divisors (54): 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36 … 30492.

Number

Pick any whole number from 1 to 100,000.

30492 = 2^{2} \times 3^{2} \times 7 \times 11^{2}

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How to work it out

1
What is special about 30492: a Harshad number: divisible by its digit sum 18.
2
30492 is composite. Its prime factorisation is
$30492 = 2^{2} \times 3^{2} \times 7 \times 11^{2}$
3
The divisors add up to 96824; without 30492 itself that is 66332, so 30492 is abundant (66332 is more than 30492). Euler's totient φ(30492) = 7920 numbers up to 30492 share no factor with it.
4
The digits of 30492 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.

LaTeX source of the formulas on this page

\[ 30492 = 2^{2} \times 3^{2} \times 7 \times 11^{2} \]

30492 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	96824
Euler totient φ(n)	7920
Square	929762064
Cube	28350304855488
Square root	174.619587 (= 66√7)
Digit sum / digital root	18 / 9
Collatz steps to 1	72
Scientific notation	3.0492 × $10^{4}$

30492 in other forms

Form	Value
In words	thirty thousand four hundred and ninety-two
Binary (base 2)	111011100011100
Octal (base 8)	73434
Hexadecimal (base 16)	771C
Base 3	1112211100
As time	30492 seconds = 8 h 28 min 12 s

Is 30492 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (30492 ÷ 2 = 15246)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (30492 ÷ 3 = 10164)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (30492 ÷ 4 = 7623)	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 (30492 ÷ 6 = 5082)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (30492 ÷ 7 = 4356)	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 (30492 ÷ 9 = 3388)	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 (30492 ÷ 11 = 2772)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (30492 ÷ 12 = 2541)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 30492 a prime number?

No. 30492 = $2^{2}$ × $3^{2}$ × 7 × $11^{2}$ , so it is divisible by 2.

What are the factors of 30492?

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 121, 126, 132, 154, 198, 231, 242, 252, 308, 363, 396, 462, 484, 693, 726, 847, 924, 1089, 1386, 1452, 1694, 2178, 2541, 2772, 3388, 4356, 5082, 7623, 10164, 15246, 30492.

What is 30492 in binary?

111011100011100 (hexadecimal 771C, octal 73434).

What is the square root of 30492?

About 174.6196, exactly 66√7.

Is 30492 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 30492?

30492 is a Harshad number: divisible by its digit sum 18.