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The number 28996

28996 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 11 × 659. Divisors (12): 1, 2, 4, 11, 22, 44, 659, 1318, 2636, 7249, 14498, 28996.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    28996 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

    28996 is composite. Its prime factorisation is

    28996=22×11×65928996 = 2^{2} \times 11 \times 659
  3. 3

    The divisors add up to 55440; without 28996 itself that is 26444, so 28996 is deficient (26444 is less than 28996). Euler's totient φ(28996) = 13160 numbers up to 28996 share no factor with it.

  4. 4

    The digits of 28996 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28996 = 2^{2} \times 11 \times 659 \]

28996 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors55440
Euler totient φ(n)13160
Square840768016
Cube24378909391936
Square root170.282119 (= 2√7249)
Digit sum / digital root34 / 7
Collatz steps to 172
Scientific notation2.8996 × 10410^{4}

28996 in other forms

FormValue
In wordstwenty-eight thousand nine hundred and ninety-six
Binary (base 2)111000101000100
Octal (base 8)70504
Hexadecimal (base 16)7144
Base 31110202221
As time28996 seconds = 8 h 3 min 16 s

Is 28996 divisible by 2 to 12?

DivisorAnswerRule
2Yes (28996 ÷ 2 = 14498)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 (28996 ÷ 4 = 7249)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 2)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 4)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 6)A number is divisible by 10 if the last digit is 0.
11Yes (28996 ÷ 11 = 2636)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 28996 a prime number?

No. 28996 = 222^{2} × 11 × 659, so it is divisible by 2.

What are the factors of 28996?

1, 2, 4, 11, 22, 44, 659, 1318, 2636, 7249, 14498, 28996.

What is 28996 in binary?

111000101000100 (hexadecimal 7144, octal 70504).

What is the square root of 28996?

About 170.2821, exactly 2√7249.

Is 28996 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 28996?

It is a composite number with 12 divisors.

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