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The number 40118

40118 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1543. Divisors (8): 1, 2, 13, 26, 1543, 3086, 20059, 40118.

Number

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How to work it out

  1. 1

    What is special about 40118: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    40118 is composite. Its prime factorisation is

    40118=2×13×154340118 = 2 \times 13 \times 1543
  3. 3

    The divisors add up to 64848; without 40118 itself that is 24730, so 40118 is deficient (24730 is less than 40118). Euler's totient φ(40118) = 18504 numbers up to 40118 share no factor with it.

  4. 4

    The digits of 40118 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 119 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40118 = 2 \times 13 \times 1543 \]

40118 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors64848
Euler totient φ(n)18504
Square1609453924
Cube64568072523032
Square root200.294783
Digit sum / digital root14 / 5
Collatz steps to 1119
Scientific notation4.0118 × 10410^{4}

40118 in other forms

FormValue
In wordsforty thousand one hundred and eighteen
Binary (base 2)1001110010110110
Octal (base 8)116266
Hexadecimal (base 16)9CB6
Base 32001000212
As time40118 seconds = 11 h 8 min 38 s

Is 40118 divisible by 2 to 12?

DivisorAnswerRule
2Yes (40118 ÷ 2 = 20059)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 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 6)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 40118 a prime number?

No. 40118 = 2 × 13 × 1543, so it is divisible by 2.

What are the factors of 40118?

1, 2, 13, 26, 1543, 3086, 20059, 40118.

What is 40118 in binary?

1001110010110110 (hexadecimal 9CB6, octal 116266).

What is the square root of 40118?

About 200.2948.

Is 40118 divisible by 3?

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

What is special about the number 40118?

40118 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    40118: is it prime? Factors, square root, binary, Roman numeral | WordGPT