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The number 94122

94122 is a composite number with 40 divisors. Its prime factorisation is 2 × 343^{4} × 7 × 83. Divisors (40): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 83, 126 … 94122.

Number

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How to work it out

  1. 1

    What is special about 94122: a Harshad number: divisible by its digit sum 18.

  2. 2

    94122 is composite. Its prime factorisation is

    94122=2×34×7×8394122 = 2 \times 3^{4} \times 7 \times 83
  3. 3

    The divisors add up to 243936; without 94122 itself that is 149814, so 94122 is abundant (149814 is more than 94122). Euler's totient φ(94122) = 26568 numbers up to 94122 share no factor with it.

  4. 4

    The digits of 94122 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 53 steps to reach 1.

LaTeX source of the formulas on this page
\[ 94122 = 2 \times 3^{4} \times 7 \times 83 \]

94122 at a glance

PropertyValue
Typecomposite
Number of divisors40
Sum of divisors243936
Euler totient φ(n)26568
Square8858950884
Cube833822175103848
Square root306.793090 (= 9√1162)
Digit sum / digital root18 / 9
Collatz steps to 153
Scientific notation9.4122 × 10410^{4}

94122 in other forms

FormValue
In wordsninety-four thousand one hundred and twenty-two
Binary (base 2)10110111110101010
Octal (base 8)267652
Hexadecimal (base 16)16FAA
Base 311210010000
As time94122 seconds = 26 h 8 min 42 s

Is 94122 divisible by 2 to 12?

DivisorAnswerRule
2Yes (94122 ÷ 2 = 47061)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (94122 ÷ 3 = 31374)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.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (94122 ÷ 6 = 15687)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (94122 ÷ 7 = 13446)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (94122 ÷ 9 = 10458)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)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 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 94122 a prime number?

No. 94122 = 2 × 343^{4} × 7 × 83, so it is divisible by 2.

What are the factors of 94122?

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 83, 126, 162, 166, 189, 249, 378, 498, 567, 581, 747, 1134, 1162, 1494, 1743, 2241, 3486, 4482, 5229, 6723, 10458, 13446, 15687, 31374, 47061, 94122.

What is 94122 in binary?

10110111110101010 (hexadecimal 16FAA, octal 267652).

What is the square root of 94122?

About 306.7931, exactly 9√1162.

Is 94122 divisible by 3?

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

What is special about the number 94122?

94122 is a Harshad number: divisible by its digit sum 18.

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