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The number 31418

31418 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 683. Divisors (8): 1, 2, 23, 46, 683, 1366, 15709, 31418.

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How to work it out

  1. 1

    What is special about 31418: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    31418 is composite. Its prime factorisation is

    31418=2×23×68331418 = 2 \times 23 \times 683
  3. 3

    The divisors add up to 49248; without 31418 itself that is 17830, so 31418 is deficient (17830 is less than 31418). Euler's totient φ(31418) = 15004 numbers up to 31418 share no factor with it.

  4. 4

    The digits of 31418 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 85 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31418 = 2 \times 23 \times 683 \]

31418 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors49248
Euler totient φ(n)15004
Square987090724
Cube31012416366632
Square root177.251234
Digit sum / digital root17 / 8
Collatz steps to 185
Scientific notation3.1418 × 10410^{4}

31418 in other forms

FormValue
In wordsthirty-one thousand four hundred and eighteen
Binary (base 2)111101010111010
Octal (base 8)75272
Hexadecimal (base 16)7ABA
Base 31121002122
As time31418 seconds = 8 h 43 min 38 s

Is 31418 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31418 ÷ 2 = 15709)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 2)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 8)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 2)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 31418 a prime number?

No. 31418 = 2 × 23 × 683, so it is divisible by 2.

What are the factors of 31418?

1, 2, 23, 46, 683, 1366, 15709, 31418.

What is 31418 in binary?

111101010111010 (hexadecimal 7ABA, octal 75272).

What is the square root of 31418?

About 177.2512.

Is 31418 divisible by 3?

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

What is special about the number 31418?

31418 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    31418: is it prime? Factors, square root, binary, Roman numeral | WordGPT