The number 96100

Q: Is 96100 a prime number?

No. 96100 = 2^2 × 5^2 × 31^2, so it is divisible by 2.

96100 is a perfect square (310²). Its prime factorisation is $2^{2}$ × $5^{2}$ × $31^{2}$ . Divisors (27): 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775 … 96100.

Number

Pick any whole number from 1 to 100,000.

96100 = 2^{2} \times 5^{2} \times 31^{2}

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How to work it out

1
What is special about 96100: a perfect square (310²).
2
96100 is composite. Its prime factorisation is
$96100 = 2^{2} \times 5^{2} \times 31^{2}$
3
The divisors add up to 215481; without 96100 itself that is 119381, so 96100 is abundant (119381 is more than 96100). Euler's totient φ(96100) = 37200 numbers up to 96100 share no factor with it.
4
The digits of 96100 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.

LaTeX source of the formulas on this page

\[ 96100 = 2^{2} \times 5^{2} \times 31^{2} \]

96100 at a glance

Property	Value
Type	composite
Number of divisors	27
Sum of divisors	215481
Euler totient φ(n)	37200
Square	9235210000
Cube	887503681000000
Square root	310
Digit sum / digital root	16 / 7
Collatz steps to 1	45
Scientific notation	9.61 × $10^{4}$
Perfect power	$310^{2}$

96100 in other forms

Form	Value
In words	ninety-six thousand one hundred
Binary (base 2)	10111011101100100
Octal (base 8)	273544
Hexadecimal (base 16)	17764
Base 3	11212211021
As time	96100 seconds = 26 h 41 min 40 s

Is 96100 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (96100 ÷ 2 = 48050)	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 (96100 ÷ 4 = 24025)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (96100 ÷ 5 = 19220)	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 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 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (96100 ÷ 10 = 9610)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	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 96100 a prime number?

No. 96100 = $2^{2}$ × $5^{2}$ × $31^{2}$ , so it is divisible by 2.

What are the factors of 96100?

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 961, 1550, 1922, 3100, 3844, 4805, 9610, 19220, 24025, 48050, 96100.

What is 96100 in binary?

10111011101100100 (hexadecimal 17764, octal 273544).

What is the square root of 96100?

310, because 310 × 310 = 96100.

Is 96100 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 96100?

96100 is a perfect square (310²).