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The number 1418

1418 is a composite number with 4 divisors. Its prime factorisation is 2 × 709. Divisors (4): 1, 2, 709, 1418.

Number

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How to work it out

  1. 1

    What is special about 1418: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 709, the product of two primes.

  2. 2

    1418 is composite. Its prime factorisation is

    1418=2×7091418 = 2 \times 709
  3. 3

    The divisors add up to 2130; without 1418 itself that is 712, so 1418 is deficient (712 is less than 1418). Euler's totient φ(1418) = 708 numbers up to 1418 share no factor with it.

  4. 4

    The digits of 1418 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1418 = 2 \times 709 \]

1418 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors2130
Euler totient φ(n)708
Square2010724
Cube2851206632
Square root37.656341
Digit sum / digital root14 / 5
Collatz steps to 134
Scientific notation1.418 × 10310^{3}

1418 in other forms

FormValue
In wordsone thousand four hundred and eighteen
Roman numeralsMCDXVIII
Binary (base 2)10110001010
Octal (base 8)2612
Hexadecimal (base 16)58A
Base 31221112
As time1418 seconds = 23 min 38 s

Is 1418 divisible by 2 to 12?

DivisorAnswerRule
2Yes (1418 ÷ 2 = 709)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 4)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 5)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 10)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 1418 a prime number?

No. 1418 = 2 × 709, so it is divisible by 2.

What are the factors of 1418?

1, 2, 709, 1418.

What is 1418 in binary?

10110001010 (hexadecimal 58A, octal 2612).

What is the square root of 1418?

About 37.6563.

What is 1418 in Roman numerals?

MCDXVIII.

Is 1418 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 1418?

1418 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 709, the product of two primes.

All about 1418

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    1418: is it prime? Factors, square root, binary, Roman numeral | WordGPT