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The number 48969

48969 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 5441. Divisors (6): 1, 3, 9, 5441, 16323, 48969.

Number

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How to work it out

  1. 1

    48969 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

    48969 is composite. Its prime factorisation is

    48969=32×544148969 = 3^{2} \times 5441
  3. 3

    The divisors add up to 70746; without 48969 itself that is 21777, so 48969 is deficient (21777 is less than 48969). Euler's totient φ(48969) = 32640 numbers up to 48969 share no factor with it.

  4. 4

    The digits of 48969 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48969 = 3^{2} \times 5441 \]

48969 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors70746
Euler totient φ(n)32640
Square2397962961
Cube117425848237209
Square root221.289403 (= 3√5441)
Digit sum / digital root36 / 9
Collatz steps to 165
Scientific notation4.8969 × 10410^{4}

48969 in other forms

FormValue
In wordsforty-eight thousand nine hundred and sixty-nine
Binary (base 2)1011111101001001
Octal (base 8)137511
Hexadecimal (base 16)BF49
Base 32111011200
As time48969 seconds = 13 h 36 min 9 s

Is 48969 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 (48969 ÷ 3 = 16323)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.
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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (48969 ÷ 9 = 5441)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 8)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 48969 a prime number?

No. 48969 = 323^{2} × 5441, so it is divisible by 3.

What are the factors of 48969?

1, 3, 9, 5441, 16323, 48969.

What is 48969 in binary?

1011111101001001 (hexadecimal BF49, octal 137511).

What is the square root of 48969?

About 221.2894, exactly 3√5441.

Is 48969 divisible by 3?

Yes. Its digits add up to 36, a multiple of 3.

What is special about the number 48969?

It is a composite number with 6 divisors.

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    48969: is it prime? Factors, square root, binary, Roman numeral | WordGPT