The number 94380

Q: Is 94380 a prime number?

No. 94380 = 2^2 × 3 × 5 × 11^2 × 13, so it is divisible by 2.

94380 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × $11^{2}$ × 13. Divisors (72): 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33 … 94380.

Number

Pick any whole number from 1 to 100,000.

94380 = 2^{2} \times 3 \times 5 \times 11^{2} \times 13

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How to work it out

1
94380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
94380 is composite. Its prime factorisation is
$94380 = 2^{2} \times 3 \times 5 \times 11^{2} \times 13$
3
The divisors add up to 312816; without 94380 itself that is 218436, so 94380 is abundant (218436 is more than 94380). Euler's totient φ(94380) = 21120 numbers up to 94380 share no factor with it.
4
The digits of 94380 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page

\[ 94380 = 2^{2} \times 3 \times 5 \times 11^{2} \times 13 \]

94380 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	312816
Euler totient φ(n)	21120
Square	8907584400
Cube	840697815672000
Square root	307.213281 (= 22√195)
Digit sum / digital root	24 / 6
Collatz steps to 1	102
Scientific notation	9.438 × $10^{4}$

94380 in other forms

Form	Value
In words	ninety-four thousand three hundred and eighty
Binary (base 2)	10111000010101100
Octal (base 8)	270254
Hexadecimal (base 16)	170AC
Base 3	11210110120
As time	94380 seconds = 26 h 13 min 0 s

Is 94380 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (94380 ÷ 2 = 47190)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (94380 ÷ 3 = 31460)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (94380 ÷ 4 = 23595)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (94380 ÷ 5 = 18876)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (94380 ÷ 6 = 15730)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (94380 ÷ 10 = 9438)	A number is divisible by 10 if the last digit is 0.
11	Yes (94380 ÷ 11 = 8580)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (94380 ÷ 12 = 7865)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 94380 a prime number?

No. 94380 = $2^{2}$ × 3 × 5 × $11^{2}$ × 13, so it is divisible by 2.

What are the factors of 94380?

1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 121, 130, 132, 143, 156, 165, 195, 220, 242, 260, 286, 330, 363, 390, 429, 484, 572, 605, 660, 715, 726, 780, 858, 1210, 1430, 1452, 1573, 1716, 1815, 2145, 2420, 2860, 3146, 3630, 4290, 4719, 6292, 7260, 7865, 8580, 9438, 15730, 18876, 23595, 31460, 47190, 94380.

What is 94380 in binary?

10111000010101100 (hexadecimal 170AC, octal 270254).

What is the square root of 94380?

About 307.2133, exactly 22√195.

Is 94380 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 94380?

It is a composite number with 72 divisors.