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The number 38918

38918 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 29 × 61. Divisors (16): 1, 2, 11, 22, 29, 58, 61, 122, 319, 638, 671, 1342, 1769, 3538, 19459, 38918.

Number

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How to work it out

  1. 1

    What is special about 38918: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.

  2. 2

    38918 is composite. Its prime factorisation is

    38918=2×11×29×6138918 = 2 \times 11 \times 29 \times 61
  3. 3

    The divisors add up to 66960; without 38918 itself that is 28042, so 38918 is deficient (28042 is less than 38918). Euler's totient φ(38918) = 16800 numbers up to 38918 share no factor with it.

  4. 4

    The digits of 38918 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38918 = 2 \times 11 \times 29 \times 61 \]

38918 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors66960
Euler totient φ(n)16800
Square1514610724
Cube58945620156632
Square root197.276456
Digit sum / digital root29 / 2
Collatz steps to 1168
Scientific notation3.8918 × 10410^{4}

38918 in other forms

FormValue
In wordsthirty-eight thousand nine hundred and eighteen
Binary (base 2)1001100000000110
Octal (base 8)114006
Hexadecimal (base 16)9806
Base 31222101102
As time38918 seconds = 10 h 48 min 38 s

Is 38918 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38918 ÷ 2 = 19459)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 3)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 5)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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.
11Yes (38918 ÷ 11 = 3538)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 38918 a prime number?

No. 38918 = 2 × 11 × 29 × 61, so it is divisible by 2.

What are the factors of 38918?

1, 2, 11, 22, 29, 58, 61, 122, 319, 638, 671, 1342, 1769, 3538, 19459, 38918.

What is 38918 in binary?

1001100000000110 (hexadecimal 9806, octal 114006).

What is the square root of 38918?

About 197.2765.

Is 38918 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 38918?

38918 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.

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