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The number 28469

28469 is a composite number with 8 divisors. Its prime factorisation is 737^{3} Ɨ 83. Divisors (8): 1, 7, 49, 83, 343, 581, 4067, 28469.

Number

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How to work it out

  1. 1

    28469 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

    28469 is composite. Its prime factorisation is

    28469=73Ɨ8328469 = 7^{3} \times 83
  3. 3

    The divisors add up to 33600; without 28469 itself that is 5131, so 28469 is deficient (5131 is less than 28469). Euler's totient φ(28469) = 24108 numbers up to 28469 share no factor with it.

  4. 4

    The digits of 28469 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28469 = 7^{3} \times 83 \]

28469 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors33600
Euler totient φ(n)24108
Square810483961
Cube23073667885709
Square root168.727591 (= 7√581)
Digit sum / digital root29 / 2
Collatz steps to 1152
Scientific notation2.8469 Ɨ 10410^{4}

28469 in other forms

FormValue
In wordstwenty-eight thousand four hundred and sixty-nine
Binary (base 2)110111100110101
Octal (base 8)67465
Hexadecimal (base 16)6F35
Base 31110001102
As time28469 seconds = 7 h 54 min 29 s

Is 28469 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).
3No (remainder 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (28469 Ć· 7 = 4067)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28469 a prime number?

No. 28469 = 737^{3} Ɨ 83, so it is divisible by 7.

What are the factors of 28469?

1, 7, 49, 83, 343, 581, 4067, 28469.

What is 28469 in binary?

110111100110101 (hexadecimal 6F35, octal 67465).

What is the square root of 28469?

About 168.7276, exactly 7√581.

Is 28469 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 28469?

It is a composite number with 8 divisors.

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    28469: is it prime? Factors, square root, binary, Roman numeral | WordGPT