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The number 18374

18374 is a composite number with 4 divisors. Its prime factorisation is 2 × 9187. Divisors (4): 1, 2, 9187, 18374.

Number

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How to work it out

  1. 1

    What is special about 18374: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 9187, the product of two primes.

  2. 2

    18374 is composite. Its prime factorisation is

    18374=2×918718374 = 2 \times 9187
  3. 3

    The divisors add up to 27564; without 18374 itself that is 9190, so 18374 is deficient (9190 is less than 18374). Euler's totient φ(18374) = 9186 numbers up to 18374 share no factor with it.

  4. 4

    The digits of 18374 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18374 = 2 \times 9187 \]

18374 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors27564
Euler totient φ(n)9186
Square337603876
Cube6203133617624
Square root135.550729
Digit sum / digital root23 / 5
Collatz steps to 1110
Scientific notation1.8374 × 10410^{4}

18374 in other forms

FormValue
In wordseighteen thousand three hundred and seventy-four
Binary (base 2)100011111000110
Octal (base 8)43706
Hexadecimal (base 16)47C6
Base 3221012112
As time18374 seconds = 5 h 6 min 14 s

Is 18374 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18374 ÷ 2 = 9187)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 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 4)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18374 a prime number?

No. 18374 = 2 × 9187, so it is divisible by 2.

What are the factors of 18374?

1, 2, 9187, 18374.

What is 18374 in binary?

100011111000110 (hexadecimal 47C6, octal 43706).

What is the square root of 18374?

About 135.5507.

Is 18374 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 18374?

18374 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 9187, the product of two primes.

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