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The number 28967

28967 is a composite number with 4 divisors. Its prime factorisation is 83 × 349. Divisors (4): 1, 83, 349, 28967.

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How to work it out

  1. 1

    What is special about 28967: a semiprime: 83 × 349, the product of two primes.

  2. 2

    28967 is composite. Its prime factorisation is

    28967=83×34928967 = 83 \times 349
  3. 3

    The divisors add up to 29400; without 28967 itself that is 433, so 28967 is deficient (433 is less than 28967). Euler's totient φ(28967) = 28536 numbers up to 28967 share no factor with it.

  4. 4

    The digits of 28967 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28967 = 83 \times 349 \]

28967 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors29400
Euler totient φ(n)28536
Square839087089
Cube24305835707063
Square root170.196945
Digit sum / digital root32 / 5
Collatz steps to 1103
Scientific notation2.8967 × 10410^{4}

28967 in other forms

FormValue
In wordstwenty-eight thousand nine hundred and sixty-seven
Binary (base 2)111000100100111
Octal (base 8)70447
Hexadecimal (base 16)7127
Base 31110201212
As time28967 seconds = 8 h 2 min 47 s

Is 28967 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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.
7No (remainder 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28967 a prime number?

No. 28967 = 83 × 349, so it is divisible by 83.

What are the factors of 28967?

1, 83, 349, 28967.

What is 28967 in binary?

111000100100111 (hexadecimal 7127, octal 70447).

What is the square root of 28967?

About 170.1969.

Is 28967 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 28967?

28967 is a semiprime: 83 × 349, the product of two primes.

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