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The number 95121

95121 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 13 × 271. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 271, 351, 813, 2439, 3523, 7317, 10569, 31707, 95121.

Number

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How to work it out

  1. 1

    95121 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

    95121 is composite. Its prime factorisation is

    95121=33×13×27195121 = 3^{3} \times 13 \times 271
  3. 3

    The divisors add up to 152320; without 95121 itself that is 57199, so 95121 is deficient (57199 is less than 95121). Euler's totient φ(95121) = 58320 numbers up to 95121 share no factor with it.

  4. 4

    The digits of 95121 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
\[ 95121 = 3^{3} \times 13 \times 271 \]

95121 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors152320
Euler totient φ(n)58320
Square9048004641
Cube860655249456561
Square root308.416926 (= 3√10569)
Digit sum / digital root18 / 9
Collatz steps to 1102
Scientific notation9.5121 × 10410^{4}

95121 in other forms

FormValue
In wordsninety-five thousand one hundred and twenty-one
Binary (base 2)10111001110010001
Octal (base 8)271621
Hexadecimal (base 16)17391
Base 311211111000
As time95121 seconds = 26 h 25 min 21 s

Is 95121 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 (95121 ÷ 3 = 31707)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 1)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 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.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (95121 ÷ 9 = 10569)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 95121 a prime number?

No. 95121 = 333^{3} × 13 × 271, so it is divisible by 3.

What are the factors of 95121?

1, 3, 9, 13, 27, 39, 117, 271, 351, 813, 2439, 3523, 7317, 10569, 31707, 95121.

What is 95121 in binary?

10111001110010001 (hexadecimal 17391, octal 271621).

What is the square root of 95121?

About 308.4169, exactly 3√10569.

Is 95121 divisible by 3?

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

What is special about the number 95121?

It is a composite number with 16 divisors.

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    95121: is it prime? Factors, square root, binary, Roman numeral | WordGPT