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The number 94950

94950 is a composite number with 36 divisors. Its prime factorisation is 2 × 323^{2} × 525^{2} × 211. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150 … 94950.

Number

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How to work it out

  1. 1

    What is special about 94950: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    94950 is composite. Its prime factorisation is

    94950=2×32×52×21194950 = 2 \times 3^{2} \times 5^{2} \times 211
  3. 3

    The divisors add up to 256308; without 94950 itself that is 161358, so 94950 is abundant (161358 is more than 94950). Euler's totient φ(94950) = 25200 numbers up to 94950 share no factor with it.

  4. 4

    The digits of 94950 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 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 94950 = 2 \times 3^{2} \times 5^{2} \times 211 \]

94950 at a glance

PropertyValue
Typecomposite
Number of divisors36
Sum of divisors256308
Euler totient φ(n)25200
Square9015502500
Cube856021962375000
Square root308.139579 (= 15√422)
Digit sum / digital root27 / 9
Collatz steps to 176
Scientific notation9.495 × 10410^{4}

94950 in other forms

FormValue
In wordsninety-four thousand nine hundred and fifty
Binary (base 2)10111001011100110
Octal (base 8)271346
Hexadecimal (base 16)172E6
Base 311211020200
As time94950 seconds = 26 h 22 min 30 s

Is 94950 divisible by 2 to 12?

DivisorAnswerRule
2Yes (94950 ÷ 2 = 47475)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (94950 ÷ 3 = 31650)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (94950 ÷ 5 = 18990)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (94950 ÷ 6 = 15825)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (94950 ÷ 9 = 10550)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (94950 ÷ 10 = 9495)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 94950 a prime number?

No. 94950 = 2 × 323^{2} × 525^{2} × 211, so it is divisible by 2.

What are the factors of 94950?

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 211, 225, 422, 450, 633, 1055, 1266, 1899, 2110, 3165, 3798, 5275, 6330, 9495, 10550, 15825, 18990, 31650, 47475, 94950.

What is 94950 in binary?

10111001011100110 (hexadecimal 172E6, octal 271346).

What is the square root of 94950?

About 308.1396, exactly 15√422.

Is 94950 divisible by 3?

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

What is special about the number 94950?

94950 is a happy number: repeatedly adding the squares of its digits reaches 1.

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