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The number 38114

38114 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 19 × 59. Divisors (16): 1, 2, 17, 19, 34, 38, 59, 118, 323, 646, 1003, 1121, 2006, 2242, 19057, 38114.

Number

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How to work it out

  1. 1

    What is special about 38114: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.

  2. 2

    38114 is composite. Its prime factorisation is

    38114=2×17×19×5938114 = 2 \times 17 \times 19 \times 59
  3. 3

    The divisors add up to 64800; without 38114 itself that is 26686, so 38114 is deficient (26686 is less than 38114). Euler's totient φ(38114) = 16704 numbers up to 38114 share no factor with it.

  4. 4

    The digits of 38114 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38114 = 2 \times 17 \times 19 \times 59 \]

38114 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors64800
Euler totient φ(n)16704
Square1452676996
Cube55367331025544
Square root195.228072
Digit sum / digital root17 / 8
Collatz steps to 180
Scientific notation3.8114 × 10410^{4}

38114 in other forms

FormValue
In wordsthirty-eight thousand one hundred and fourteen
Binary (base 2)1001010011100010
Octal (base 8)112342
Hexadecimal (base 16)94E2
Base 31221021122
As time38114 seconds = 10 h 35 min 14 s

Is 38114 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38114 ÷ 2 = 19057)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.
4No (remainder 2)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 6)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 8)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.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38114 a prime number?

No. 38114 = 2 × 17 × 19 × 59, so it is divisible by 2.

What are the factors of 38114?

1, 2, 17, 19, 34, 38, 59, 118, 323, 646, 1003, 1121, 2006, 2242, 19057, 38114.

What is 38114 in binary?

1001010011100010 (hexadecimal 94E2, octal 112342).

What is the square root of 38114?

About 195.2281.

Is 38114 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 38114?

38114 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.

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    38114: is it prime? Factors, square root, binary, Roman numeral | WordGPT