The number 95480

Q: Is 95480 a prime number?

No. 95480 = 2^3 × 5 × 7 × 11 × 31, so it is divisible by 2.

95480 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 5 × 7 × 11 × 31. Divisors (64): 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 31, 35, 40, 44 … 95480.

Number

Pick any whole number from 1 to 100,000.

95480 = 2^{3} \times 5 \times 7 \times 11 \times 31

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How to work it out

1
95480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
95480 is composite. Its prime factorisation is
$95480 = 2^{3} \times 5 \times 7 \times 11 \times 31$
3
The divisors add up to 276480; without 95480 itself that is 181000, so 95480 is abundant (181000 is more than 95480). Euler's totient φ(95480) = 28800 numbers up to 95480 share no factor with it.
4
The digits of 95480 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page

\[ 95480 = 2^{3} \times 5 \times 7 \times 11 \times 31 \]

95480 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	276480
Euler totient φ(n)	28800
Square	9116430400
Cube	870436774592000
Square root	308.998382 (= 2√23870)
Digit sum / digital root	26 / 8
Collatz steps to 1	102
Scientific notation	9.548 × $10^{4}$

95480 in other forms

Form	Value
In words	ninety-five thousand four hundred and eighty
Binary (base 2)	10111010011111000
Octal (base 8)	272370
Hexadecimal (base 16)	174F8
Base 3	11211222022
As time	95480 seconds = 26 h 31 min 20 s

Is 95480 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (95480 ÷ 2 = 47740)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (95480 ÷ 4 = 23870)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (95480 ÷ 5 = 19096)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (95480 ÷ 7 = 13640)	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	Yes (95480 ÷ 8 = 11935)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 8)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (95480 ÷ 10 = 9548)	A number is divisible by 10 if the last digit is 0.
11	Yes (95480 ÷ 11 = 8680)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 95480 a prime number?

No. 95480 = $2^{3}$ × 5 × 7 × 11 × 31, so it is divisible by 2.

What are the factors of 95480?

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 31, 35, 40, 44, 55, 56, 62, 70, 77, 88, 110, 124, 140, 154, 155, 217, 220, 248, 280, 308, 310, 341, 385, 434, 440, 616, 620, 682, 770, 868, 1085, 1240, 1364, 1540, 1705, 1736, 2170, 2387, 2728, 3080, 3410, 4340, 4774, 6820, 8680, 9548, 11935, 13640, 19096, 23870, 47740, 95480.

What is 95480 in binary?

10111010011111000 (hexadecimal 174F8, octal 272370).

What is the square root of 95480?

About 308.9984, exactly 2√23870.

Is 95480 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 95480?

It is a composite number with 64 divisors.