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The number 31018

31018 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1193. Divisors (8): 1, 2, 13, 26, 1193, 2386, 15509, 31018.

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How to work it out

  1. 1

    What is special about 31018: a Harshad number: divisible by its digit sum 13.

  2. 2

    31018 is composite. Its prime factorisation is

    31018=2×13×119331018 = 2 \times 13 \times 1193
  3. 3

    The divisors add up to 50148; without 31018 itself that is 19130, so 31018 is deficient (19130 is less than 31018). Euler's totient φ(31018) = 14304 numbers up to 31018 share no factor with it.

  4. 4

    The digits of 31018 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 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31018 = 2 \times 13 \times 1193 \]

31018 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors50148
Euler totient φ(n)14304
Square962116324
Cube29842924137832
Square root176.119278
Digit sum / digital root13 / 4
Collatz steps to 154
Scientific notation3.1018 × 10410^{4}

31018 in other forms

FormValue
In wordsthirty-one thousand and eighteen
Binary (base 2)111100100101010
Octal (base 8)74452
Hexadecimal (base 16)792A
Base 31120112211
As time31018 seconds = 8 h 36 min 58 s

Is 31018 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31018 ÷ 2 = 15509)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 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 4)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 2)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31018 a prime number?

No. 31018 = 2 × 13 × 1193, so it is divisible by 2.

What are the factors of 31018?

1, 2, 13, 26, 1193, 2386, 15509, 31018.

What is 31018 in binary?

111100100101010 (hexadecimal 792A, octal 74452).

What is the square root of 31018?

About 176.1193.

Is 31018 divisible by 3?

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

What is special about the number 31018?

31018 is a Harshad number: divisible by its digit sum 13.

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    31018: is it prime? Factors, square root, binary, Roman numeral | WordGPT