The number 94200

Q: Is 94200 a prime number?

No. 94200 = 2^3 × 3 × 5^2 × 157, so it is divisible by 2.

94200 is a composite number with 48 divisors. Its prime factorisation is $2^{3}$ × 3 × $5^{2}$ × 157. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 94200.

Number

Pick any whole number from 1 to 100,000.

94200 = 2^{3} \times 3 \times 5^{2} \times 157

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How to work it out

1
What is special about 94200: a Harshad number: divisible by its digit sum 15.
2
94200 is composite. Its prime factorisation is
$94200 = 2^{3} \times 3 \times 5^{2} \times 157$
3
The divisors add up to 293880; without 94200 itself that is 199680, so 94200 is abundant (199680 is more than 94200). Euler's totient φ(94200) = 24960 numbers up to 94200 share no factor with it.
4
The digits of 94200 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.

LaTeX source of the formulas on this page

\[ 94200 = 2^{3} \times 3 \times 5^{2} \times 157 \]

94200 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	293880
Euler totient φ(n)	24960
Square	8873640000
Cube	835896888000000
Square root	306.920185 (= 10√942)
Digit sum / digital root	15 / 6
Collatz steps to 1	128
Scientific notation	9.42 × $10^{4}$

94200 in other forms

Form	Value
In words	ninety-four thousand two hundred
Binary (base 2)	10110111111111000
Octal (base 8)	267770
Hexadecimal (base 16)	16FF8
Base 3	11210012220
As time	94200 seconds = 26 h 10 min 0 s

Is 94200 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (94200 ÷ 2 = 47100)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (94200 ÷ 3 = 31400)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (94200 ÷ 4 = 23550)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (94200 ÷ 5 = 18840)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (94200 ÷ 6 = 15700)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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 (94200 ÷ 8 = 11775)	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 (94200 ÷ 10 = 9420)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (94200 ÷ 12 = 7850)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 94200 a prime number?

No. 94200 = $2^{3}$ × 3 × $5^{2}$ × 157, so it is divisible by 2.

What are the factors of 94200?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 157, 200, 300, 314, 471, 600, 628, 785, 942, 1256, 1570, 1884, 2355, 3140, 3768, 3925, 4710, 6280, 7850, 9420, 11775, 15700, 18840, 23550, 31400, 47100, 94200.

What is 94200 in binary?

10110111111111000 (hexadecimal 16FF8, octal 267770).

What is the square root of 94200?

About 306.9202, exactly 10√942.

Is 94200 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 94200?

94200 is a Harshad number: divisible by its digit sum 15.