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The number 14889

14889 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 709. Divisors (8): 1, 3, 7, 21, 709, 2127, 4963, 14889.

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How to work it out

  1. 1

    What is special about 14889: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    14889 is composite. Its prime factorisation is

    14889=3×7×70914889 = 3 \times 7 \times 709
  3. 3

    The divisors add up to 22720; without 14889 itself that is 7831, so 14889 is deficient (7831 is less than 14889). Euler's totient φ(14889) = 8496 numbers up to 14889 share no factor with it.

  4. 4

    The digits of 14889 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14889 = 3 \times 7 \times 709 \]

14889 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors22720
Euler totient φ(n)8496
Square221682321
Cube3300628077369
Square root122.020490
Digit sum / digital root30 / 3
Collatz steps to 171
Scientific notation1.4889 × 10410^{4}

14889 in other forms

FormValue
In wordsfourteen thousand eight hundred and eighty-nine
Binary (base 2)11101000101001
Octal (base 8)35051
Hexadecimal (base 16)3A29
Base 3202102110
As time14889 seconds = 4 h 8 min 9 s

Is 14889 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).
3Yes (14889 ÷ 3 = 4963)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (14889 ÷ 7 = 2127)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14889 a prime number?

No. 14889 = 3 × 7 × 709, so it is divisible by 3.

What are the factors of 14889?

1, 3, 7, 21, 709, 2127, 4963, 14889.

What is 14889 in binary?

11101000101001 (hexadecimal 3A29, octal 35051).

What is the square root of 14889?

About 122.0205.

Is 14889 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 14889?

14889 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    14889: is it prime? Factors, square root, binary, Roman numeral | WordGPT