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The number 38012

38012 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 13 × 17 × 43. Divisors (24): 1, 2, 4, 13, 17, 26, 34, 43, 52, 68, 86, 172, 221, 442, 559, 731 … 38012.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    38012 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

    38012 is composite. Its prime factorisation is

    38012=22×13×17×4338012 = 2^{2} \times 13 \times 17 \times 43
  3. 3

    The divisors add up to 77616; without 38012 itself that is 39604, so 38012 is abundant (39604 is more than 38012). Euler's totient φ(38012) = 16128 numbers up to 38012 share no factor with it.

  4. 4

    The digits of 38012 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38012 = 2^{2} \times 13 \times 17 \times 43 \]

38012 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors77616
Euler totient φ(n)16128
Square1444912144
Cube54924000417728
Square root194.966664 (= 2√9503)
Digit sum / digital root14 / 5
Collatz steps to 1155
Scientific notation3.8012 × 10410^{4}

38012 in other forms

FormValue
In wordsthirty-eight thousand and twelve
Binary (base 2)1001010001111100
Octal (base 8)112174
Hexadecimal (base 16)947C
Base 31221010212
As time38012 seconds = 10 h 33 min 32 s

Is 38012 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38012 ÷ 2 = 19006)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 (38012 ÷ 4 = 9503)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.
6No (remainder 2)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 4)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 38012 a prime number?

No. 38012 = 222^{2} × 13 × 17 × 43, so it is divisible by 2.

What are the factors of 38012?

1, 2, 4, 13, 17, 26, 34, 43, 52, 68, 86, 172, 221, 442, 559, 731, 884, 1118, 1462, 2236, 2924, 9503, 19006, 38012.

What is 38012 in binary?

1001010001111100 (hexadecimal 947C, octal 112174).

What is the square root of 38012?

About 194.9667, exactly 2√9503.

Is 38012 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 38012?

It is a composite number with 24 divisors.

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    38012: is it prime? Factors, square root, binary, Roman numeral | WordGPT