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The number 14488

14488 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 1811. Divisors (8): 1, 2, 4, 8, 1811, 3622, 7244, 14488.

Number

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How to work it out

  1. 1

    14488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    14488 is composite. Its prime factorisation is

    14488=23×181114488 = 2^{3} \times 1811
  3. 3

    The divisors add up to 27180; without 14488 itself that is 12692, so 14488 is deficient (12692 is less than 14488). Euler's totient φ(14488) = 7240 numbers up to 14488 share no factor with it.

  4. 4

    The digits of 14488 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14488 = 2^{3} \times 1811 \]

14488 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors27180
Euler totient φ(n)7240
Square209902144
Cube3041062262272
Square root120.366108 (= 2√3622)
Digit sum / digital root25 / 7
Collatz steps to 171
Scientific notation1.4488 × 10410^{4}

14488 in other forms

FormValue
In wordsfourteen thousand four hundred and eighty-eight
Binary (base 2)11100010011000
Octal (base 8)34230
Hexadecimal (base 16)3898
Base 3201212121
As time14488 seconds = 4 h 1 min 28 s

Is 14488 divisible by 2 to 12?

DivisorAnswerRule
2Yes (14488 ÷ 2 = 7244)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.
4Yes (14488 ÷ 4 = 3622)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 5)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (14488 ÷ 8 = 1811)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14488 a prime number?

No. 14488 = 232^{3} × 1811, so it is divisible by 2.

What are the factors of 14488?

1, 2, 4, 8, 1811, 3622, 7244, 14488.

What is 14488 in binary?

11100010011000 (hexadecimal 3898, octal 34230).

What is the square root of 14488?

About 120.3661, exactly 2√3622.

Is 14488 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 14488?

It is a composite number with 8 divisors.

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    14488: is it prime? Factors, square root, binary, Roman numeral | WordGPT