The number 94900

Q: Is 94900 a prime number?

No. 94900 = 2^2 × 5^2 × 13 × 73, so it is divisible by 2.

94900 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{2}$ × 13 × 73. Divisors (36): 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 73, 100, 130, 146 … 94900.

Number

Pick any whole number from 1 to 100,000.

94900 = 2^{2} \times 5^{2} \times 13 \times 73

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How to work it out

1
94900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
94900 is composite. Its prime factorisation is
$94900 = 2^{2} \times 5^{2} \times 13 \times 73$
3
The divisors add up to 224812; without 94900 itself that is 129912, so 94900 is abundant (129912 is more than 94900). Euler's totient φ(94900) = 34560 numbers up to 94900 share no factor with it.
4
The digits of 94900 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.

LaTeX source of the formulas on this page

\[ 94900 = 2^{2} \times 5^{2} \times 13 \times 73 \]

94900 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	224812
Euler totient φ(n)	34560
Square	9006010000
Cube	854670349000000
Square root	308.058436 (= 10√949)
Digit sum / digital root	22 / 4
Collatz steps to 1	40
Scientific notation	9.49 × $10^{4}$

94900 in other forms

Form	Value
In words	ninety-four thousand nine hundred
Binary (base 2)	10111001010110100
Octal (base 8)	271264
Hexadecimal (base 16)	172B4
Base 3	11211011211
As time	94900 seconds = 26 h 21 min 40 s

Is 94900 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (94900 ÷ 2 = 47450)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (94900 ÷ 4 = 23725)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (94900 ÷ 5 = 18980)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	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	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 4)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (94900 ÷ 10 = 9490)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 94900 a prime number?

No. 94900 = $2^{2}$ × $5^{2}$ × 13 × 73, so it is divisible by 2.

What are the factors of 94900?

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 73, 100, 130, 146, 260, 292, 325, 365, 650, 730, 949, 1300, 1460, 1825, 1898, 3650, 3796, 4745, 7300, 9490, 18980, 23725, 47450, 94900.

What is 94900 in binary?

10111001010110100 (hexadecimal 172B4, octal 271264).

What is the square root of 94900?

About 308.0584, exactly 10√949.

Is 94900 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 94900?

It is a composite number with 36 divisors.