The number 95550

Q: Is 95550 a prime number?

No. 95550 = 2 × 3 × 5^2 × 7^2 × 13, so it is divisible by 2.

95550 is a composite number with 72 divisors. Its prime factorisation is 2 × 3 × $5^{2}$ × $7^{2}$ × 13. Divisors (72): 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 25, 26, 30, 35, 39 … 95550.

Number

Pick any whole number from 1 to 100,000.

95550 = 2 \times 3 \times 5^{2} \times 7^{2} \times 13

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How to work it out

1
95550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
95550 is composite. Its prime factorisation is
$95550 = 2 \times 3 \times 5^{2} \times 7^{2} \times 13$
3
The divisors add up to 296856; without 95550 itself that is 201306, so 95550 is abundant (201306 is more than 95550). Euler's totient φ(95550) = 20160 numbers up to 95550 share no factor with it.
4
The digits of 95550 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

\[ 95550 = 2 \times 3 \times 5^{2} \times 7^{2} \times 13 \]

95550 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	296856
Euler totient φ(n)	20160
Square	9129802500
Cube	872352628875000
Square root	309.111630 (= 35√78)
Digit sum / digital root	24 / 6
Collatz steps to 1	102
Scientific notation	9.555 × $10^{4}$

95550 in other forms

Form	Value
In words	ninety-five thousand five hundred and fifty
Binary (base 2)	10111010100111110
Octal (base 8)	272476
Hexadecimal (base 16)	1753E
Base 3	11212001220
As time	95550 seconds = 26 h 32 min 30 s

Is 95550 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (95550 ÷ 2 = 47775)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (95550 ÷ 3 = 31850)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (95550 ÷ 5 = 19110)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (95550 ÷ 6 = 15925)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (95550 ÷ 7 = 13650)	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 6)	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 (95550 ÷ 10 = 9555)	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 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 95550 a prime number?

No. 95550 = 2 × 3 × $5^{2}$ × $7^{2}$ × 13, so it is divisible by 2.

What are the factors of 95550?

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 25, 26, 30, 35, 39, 42, 49, 50, 65, 70, 75, 78, 91, 98, 105, 130, 147, 150, 175, 182, 195, 210, 245, 273, 294, 325, 350, 390, 455, 490, 525, 546, 637, 650, 735, 910, 975, 1050, 1225, 1274, 1365, 1470, 1911, 1950, 2275, 2450, 2730, 3185, 3675, 3822, 4550, 6370, 6825, 7350, 9555, 13650, 15925, 19110, 31850, 47775, 95550.

What is 95550 in binary?

10111010100111110 (hexadecimal 1753E, octal 272476).

What is the square root of 95550?

About 309.1116, exactly 35√78.

Is 95550 divisible by 3?

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

What is special about the number 95550?

It is a composite number with 72 divisors.