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The number 18431

18431 is a composite number with 4 divisors. Its prime factorisation is 7 × 2633. Divisors (4): 1, 7, 2633, 18431.

Number

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How to work it out

  1. 1

    What is special about 18431: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 2633, the product of two primes.

  2. 2

    18431 is composite. Its prime factorisation is

    18431=7×263318431 = 7 \times 2633
  3. 3

    The divisors add up to 21072; without 18431 itself that is 2641, so 18431 is deficient (2641 is less than 18431). Euler's totient φ(18431) = 15792 numbers up to 18431 share no factor with it.

  4. 4

    The digits of 18431 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 154 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18431 = 7 \times 2633 \]

18431 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors21072
Euler totient φ(n)15792
Square339701761
Cube6261043156991
Square root135.760819
Digit sum / digital root17 / 8
Collatz steps to 1154
Scientific notation1.8431 × 10410^{4}

18431 in other forms

FormValue
In wordseighteen thousand four hundred and thirty-one
Binary (base 2)100011111111111
Octal (base 8)43777
Hexadecimal (base 16)47FF
Base 3221021122
As time18431 seconds = 5 h 7 min 11 s

Is 18431 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (18431 ÷ 7 = 2633)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 7)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18431 a prime number?

No. 18431 = 7 × 2633, so it is divisible by 7.

What are the factors of 18431?

1, 7, 2633, 18431.

What is 18431 in binary?

100011111111111 (hexadecimal 47FF, octal 43777).

What is the square root of 18431?

About 135.7608.

Is 18431 divisible by 3?

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

What is special about the number 18431?

18431 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 2633, the product of two primes.

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