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The number 94424

94424 is a composite number with 32 divisors. Its prime factorisation is 232^{3} × 11 × 29 × 37. Divisors (32): 1, 2, 4, 8, 11, 22, 29, 37, 44, 58, 74, 88, 116, 148, 232, 296 … 94424.

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How to work it out

  1. 1

    What is special about 94424: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    94424 is composite. Its prime factorisation is

    94424=23×11×29×3794424 = 2^{3} \times 11 \times 29 \times 37
  3. 3

    The divisors add up to 205200; without 94424 itself that is 110776, so 94424 is abundant (110776 is more than 94424). Euler's totient φ(94424) = 40320 numbers up to 94424 share no factor with it.

  4. 4

    The digits of 94424 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.

LaTeX source of the formulas on this page
\[ 94424 = 2^{3} \times 11 \times 29 \times 37 \]

94424 at a glance

PropertyValue
Typecomposite
Number of divisors32
Sum of divisors205200
Euler totient φ(n)40320
Square8915891776
Cube841874165057024
Square root307.284884 (= 2√23606)
Digit sum / digital root23 / 5
Collatz steps to 184
Scientific notation9.4424 × 10410^{4}

94424 in other forms

FormValue
In wordsninety-four thousand four hundred and twenty-four
Binary (base 2)10111000011011000
Octal (base 8)270330
Hexadecimal (base 16)170D8
Base 311210112012
As time94424 seconds = 26 h 13 min 44 s

Is 94424 divisible by 2 to 12?

DivisorAnswerRule
2Yes (94424 ÷ 2 = 47212)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (94424 ÷ 4 = 23606)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (94424 ÷ 8 = 11803)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11Yes (94424 ÷ 11 = 8584)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 94424 a prime number?

No. 94424 = 232^{3} × 11 × 29 × 37, so it is divisible by 2.

What are the factors of 94424?

1, 2, 4, 8, 11, 22, 29, 37, 44, 58, 74, 88, 116, 148, 232, 296, 319, 407, 638, 814, 1073, 1276, 1628, 2146, 2552, 3256, 4292, 8584, 11803, 23606, 47212, 94424.

What is 94424 in binary?

10111000011011000 (hexadecimal 170D8, octal 270330).

What is the square root of 94424?

About 307.2849, exactly 2√23606.

Is 94424 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 94424?

94424 is a happy number: repeatedly adding the squares of its digits reaches 1.

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