The number 95676

Q: Is 95676 a prime number?

No. 95676 = 2^2 × 3 × 7 × 17 × 67, so it is divisible by 2.

95676 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 7 × 17 × 67. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 67, 68 … 95676.

Number

Pick any whole number from 1 to 100,000.

95676 = 2^{2} \times 3 \times 7 \times 17 \times 67

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How to work it out

1
95676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
95676 is composite. Its prime factorisation is
$95676 = 2^{2} \times 3 \times 7 \times 17 \times 67$
3
The divisors add up to 274176; without 95676 itself that is 178500, so 95676 is abundant (178500 is more than 95676). Euler's totient φ(95676) = 25344 numbers up to 95676 share no factor with it.
4
The digits of 95676 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page

\[ 95676 = 2^{2} \times 3 \times 7 \times 17 \times 67 \]

95676 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	274176
Euler totient φ(n)	25344
Square	9153896976
Cube	875808247075776
Square root	309.315373 (= 2√23919)
Digit sum / digital root	33 / 6
Collatz steps to 1	58
Scientific notation	9.5676 × $10^{4}$

95676 in other forms

Form	Value
In words	ninety-five thousand six hundred and seventy-six
Binary (base 2)	10111010110111100
Octal (base 8)	272674
Hexadecimal (base 16)	175BC
Base 3	11212020120
As time	95676 seconds = 26 h 34 min 36 s

Is 95676 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (95676 ÷ 2 = 47838)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (95676 ÷ 3 = 31892)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (95676 ÷ 4 = 23919)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (95676 ÷ 6 = 15946)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (95676 ÷ 7 = 13668)	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	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (95676 ÷ 12 = 7973)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 95676 a prime number?

No. 95676 = $2^{2}$ × 3 × 7 × 17 × 67, so it is divisible by 2.

What are the factors of 95676?

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 67, 68, 84, 102, 119, 134, 201, 204, 238, 268, 357, 402, 469, 476, 714, 804, 938, 1139, 1407, 1428, 1876, 2278, 2814, 3417, 4556, 5628, 6834, 7973, 13668, 15946, 23919, 31892, 47838, 95676.

What is 95676 in binary?

10111010110111100 (hexadecimal 175BC, octal 272674).

What is the square root of 95676?

About 309.3154, exactly 2√23919.

Is 95676 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 95676?

It is a composite number with 48 divisors.