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The number 92338

92338 is a composite number with 8 divisors. Its prime factorisation is 2 × 137 × 337. Divisors (8): 1, 2, 137, 274, 337, 674, 46169, 92338.

Number

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How to work it out

  1. 1

    What is special about 92338: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    92338 is composite. Its prime factorisation is

    92338=2×137×33792338 = 2 \times 137 \times 337
  3. 3

    The divisors add up to 139932; without 92338 itself that is 47594, so 92338 is deficient (47594 is less than 92338). Euler's totient φ(92338) = 45696 numbers up to 92338 share no factor with it.

  4. 4

    The digits of 92338 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 92338 = 2 \times 137 \times 337 \]

92338 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors139932
Euler totient φ(n)45696
Square8526306244
Cube787302065958472
Square root303.871683
Digit sum / digital root25 / 7
Collatz steps to 158
Scientific notation9.2338 × 10410^{4}

92338 in other forms

FormValue
In wordsninety-two thousand three hundred and thirty-eight
Binary (base 2)10110100010110010
Octal (base 8)264262
Hexadecimal (base 16)168B2
Base 311200122221
As time92338 seconds = 25 h 38 min 58 s

Is 92338 divisible by 2 to 12?

DivisorAnswerRule
2Yes (92338 ÷ 2 = 46169)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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.
8No (remainder 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 92338 a prime number?

No. 92338 = 2 × 137 × 337, so it is divisible by 2.

What are the factors of 92338?

1, 2, 137, 274, 337, 674, 46169, 92338.

What is 92338 in binary?

10110100010110010 (hexadecimal 168B2, octal 264262).

What is the square root of 92338?

About 303.8717.

Is 92338 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 92338?

92338 is a happy number: repeatedly adding the squares of its digits reaches 1.

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