The number 95004

Q: Is 95004 a prime number?

No. 95004 = 2^2 × 3^2 × 7 × 13 × 29, so it is divisible by 2.

95004 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 7 × 13 × 29. Divisors (72): 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 29, 36 … 95004.

Number

Pick any whole number from 1 to 100,000.

95004 = 2^{2} \times 3^{2} \times 7 \times 13 \times 29

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How to work it out

1
What is special about 95004: a Harshad number: divisible by its digit sum 18.
2
95004 is composite. Its prime factorisation is
$95004 = 2^{2} \times 3^{2} \times 7 \times 13 \times 29$
3
The divisors add up to 305760; without 95004 itself that is 210756, so 95004 is abundant (210756 is more than 95004). Euler's totient φ(95004) = 24192 numbers up to 95004 share no factor with it.
4
The digits of 95004 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.

LaTeX source of the formulas on this page

\[ 95004 = 2^{2} \times 3^{2} \times 7 \times 13 \times 29 \]

95004 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	305760
Euler totient φ(n)	24192
Square	9025760016
Cube	857483304560064
Square root	308.227189 (= 6√2639)
Digit sum / digital root	18 / 9
Collatz steps to 1	221
Scientific notation	9.5004 × $10^{4}$

95004 in other forms

Form	Value
In words	ninety-five thousand and four
Binary (base 2)	10111001100011100
Octal (base 8)	271434
Hexadecimal (base 16)	1731C
Base 3	11211022200
As time	95004 seconds = 26 h 23 min 24 s

Is 95004 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (95004 ÷ 2 = 47502)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (95004 ÷ 3 = 31668)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (95004 ÷ 4 = 23751)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (95004 ÷ 6 = 15834)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (95004 ÷ 7 = 13572)	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 (95004 ÷ 9 = 10556)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (95004 ÷ 12 = 7917)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 95004 a prime number?

No. 95004 = $2^{2}$ × $3^{2}$ × 7 × 13 × 29, so it is divisible by 2.

What are the factors of 95004?

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 29, 36, 39, 42, 52, 58, 63, 78, 84, 87, 91, 116, 117, 126, 156, 174, 182, 203, 234, 252, 261, 273, 348, 364, 377, 406, 468, 522, 546, 609, 754, 812, 819, 1044, 1092, 1131, 1218, 1508, 1638, 1827, 2262, 2436, 2639, 3276, 3393, 3654, 4524, 5278, 6786, 7308, 7917, 10556, 13572, 15834, 23751, 31668, 47502, 95004.

What is 95004 in binary?

10111001100011100 (hexadecimal 1731C, octal 271434).

What is the square root of 95004?

About 308.2272, exactly 6√2639.

Is 95004 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 95004?

95004 is a Harshad number: divisible by its digit sum 18.