The number 95940

Q: Is 95940 a prime number?

No. 95940 = 2^2 × 3^2 × 5 × 13 × 41, so it is divisible by 2.

95940 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 13 × 41. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36 … 95940.

Number

Pick any whole number from 1 to 100,000.

95940 = 2^{2} \times 3^{2} \times 5 \times 13 \times 41

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How to work it out

1
What is special about 95940: a happy number: repeatedly adding the squares of its digits reaches 1.
2
95940 is composite. Its prime factorisation is
$95940 = 2^{2} \times 3^{2} \times 5 \times 13 \times 41$
3
The divisors add up to 321048; without 95940 itself that is 225108, so 95940 is abundant (225108 is more than 95940). Euler's totient φ(95940) = 23040 numbers up to 95940 share no factor with it.
4
The digits of 95940 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.

LaTeX source of the formulas on this page

\[ 95940 = 2^{2} \times 3^{2} \times 5 \times 13 \times 41 \]

95940 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	321048
Euler totient φ(n)	23040
Square	9204483600
Cube	883078156584000
Square root	309.741828 (= 6√2665)
Digit sum / digital root	27 / 9
Collatz steps to 1	53
Scientific notation	9.594 × $10^{4}$

95940 in other forms

Form	Value
In words	ninety-five thousand nine hundred and forty
Binary (base 2)	10111011011000100
Octal (base 8)	273304
Hexadecimal (base 16)	176C4
Base 3	11212121100
As time	95940 seconds = 26 h 39 min 0 s

Is 95940 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (95940 ÷ 2 = 47970)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (95940 ÷ 3 = 31980)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (95940 ÷ 4 = 23985)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (95940 ÷ 5 = 19188)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (95940 ÷ 6 = 15990)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	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	Yes (95940 ÷ 9 = 10660)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (95940 ÷ 10 = 9594)	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 (95940 ÷ 12 = 7995)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 95940 a prime number?

No. 95940 = $2^{2}$ × $3^{2}$ × 5 × 13 × 41, so it is divisible by 2.

What are the factors of 95940?

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 41, 45, 52, 60, 65, 78, 82, 90, 117, 123, 130, 156, 164, 180, 195, 205, 234, 246, 260, 369, 390, 410, 468, 492, 533, 585, 615, 738, 780, 820, 1066, 1170, 1230, 1476, 1599, 1845, 2132, 2340, 2460, 2665, 3198, 3690, 4797, 5330, 6396, 7380, 7995, 9594, 10660, 15990, 19188, 23985, 31980, 47970, 95940.

What is 95940 in binary?

10111011011000100 (hexadecimal 176C4, octal 273304).

What is the square root of 95940?

About 309.7418, exactly 6√2665.

Is 95940 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 95940?

95940 is a happy number: repeatedly adding the squares of its digits reaches 1.