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The number 95013

95013 is a composite number with 24 divisors. Its prime factorisation is 353^{5} × 17 × 23. Divisors (24): 1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 243, 391, 459, 621, 1173 … 95013.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    95013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    95013 is composite. Its prime factorisation is

    95013=35×17×2395013 = 3^{5} \times 17 \times 23
  3. 3

    The divisors add up to 157248; without 95013 itself that is 62235, so 95013 is deficient (62235 is less than 95013). Euler's totient φ(95013) = 57024 numbers up to 95013 share no factor with it.

  4. 4

    The digits of 95013 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 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 95013 = 3^{5} \times 17 \times 23 \]

95013 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors157248
Euler totient φ(n)57024
Square9027470169
Cube857727023167197
Square root308.241788 (= 9√1173)
Digit sum / digital root18 / 9
Collatz steps to 1102
Scientific notation9.5013 × 10410^{4}

95013 in other forms

FormValue
In wordsninety-five thousand and thirteen
Binary (base 2)10111001100100101
Octal (base 8)271445
Hexadecimal (base 16)17325
Base 311211100000
As time95013 seconds = 26 h 23 min 33 s

Is 95013 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (95013 ÷ 3 = 31671)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (95013 ÷ 9 = 10557)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 95013 a prime number?

No. 95013 = 353^{5} × 17 × 23, so it is divisible by 3.

What are the factors of 95013?

1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 243, 391, 459, 621, 1173, 1377, 1863, 3519, 4131, 5589, 10557, 31671, 95013.

What is 95013 in binary?

10111001100100101 (hexadecimal 17325, octal 271445).

What is the square root of 95013?

About 308.2418, exactly 9√1173.

Is 95013 divisible by 3?

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

What is special about the number 95013?

It is a composite number with 24 divisors.

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    95013: is it prime? Factors, square root, binary, Roman numeral | WordGPT