WordGPT

The number 18031

18031 is a composite number with 8 divisors. Its prime factorisation is 13 × 19 × 73. Divisors (8): 1, 13, 19, 73, 247, 949, 1387, 18031.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 18031: a Harshad number: divisible by its digit sum 13.

  2. 2

    18031 is composite. Its prime factorisation is

    18031=13×19×7318031 = 13 \times 19 \times 73
  3. 3

    The divisors add up to 20720; without 18031 itself that is 2689, so 18031 is deficient (2689 is less than 18031). Euler's totient φ(18031) = 15552 numbers up to 18031 share no factor with it.

  4. 4

    The digits of 18031 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18031 = 13 \times 19 \times 73 \]

18031 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors20720
Euler totient φ(n)15552
Square325116961
Cube5862183923791
Square root134.279559
Digit sum / digital root13 / 4
Collatz steps to 192
Scientific notation1.8031 × 10410^{4}

18031 in other forms

FormValue
In wordseighteen thousand and thirty-one
Binary (base 2)100011001101111
Octal (base 8)43157
Hexadecimal (base 16)466F
Base 3220201211
As time18031 seconds = 5 h 0 min 31 s

Is 18031 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 1)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 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18031 a prime number?

No. 18031 = 13 × 19 × 73, so it is divisible by 13.

What are the factors of 18031?

1, 13, 19, 73, 247, 949, 1387, 18031.

What is 18031 in binary?

100011001101111 (hexadecimal 466F, octal 43157).

What is the square root of 18031?

About 134.2796.

Is 18031 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 18031?

18031 is a Harshad number: divisible by its digit sum 13.

Find the next one

Nearby numbers

    18031: is it prime? Factors, square root, binary, Roman numeral | WordGPT