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The number 8054

8054 is a composite number with 4 divisors. Its prime factorisation is 2 × 4027. Divisors (4): 1, 2, 4027, 8054.

Number

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How to work it out

  1. 1

    What is special about 8054: a semiprime: 2 × 4027, the product of two primes.

  2. 2

    8054 is composite. Its prime factorisation is

    8054=2×40278054 = 2 \times 4027
  3. 3

    The divisors add up to 12084; without 8054 itself that is 4030, so 8054 is deficient (4030 is less than 8054). Euler's totient φ(8054) = 4026 numbers up to 8054 share no factor with it.

  4. 4

    The digits of 8054 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8054 = 2 \times 4027 \]

8054 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12084
Euler totient φ(n)4026
Square64866916
Cube522438141464
Square root89.744081
Digit sum / digital root17 / 8
Collatz steps to 170
Scientific notation8.054 × 10310^{3}

8054 in other forms

FormValue
In wordseight thousand and fifty-four
Binary (base 2)1111101110110
Octal (base 8)17566
Hexadecimal (base 16)1F76
Base 3102001022
As time8054 seconds = 2 h 14 min 14 s

Is 8054 divisible by 2 to 12?

DivisorAnswerRule
2Yes (8054 ÷ 2 = 4027)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 2)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 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 8054 a prime number?

No. 8054 = 2 × 4027, so it is divisible by 2.

What are the factors of 8054?

1, 2, 4027, 8054.

What is 8054 in binary?

1111101110110 (hexadecimal 1F76, octal 17566).

What is the square root of 8054?

About 89.7441.

Is 8054 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 8054?

8054 is a semiprime: 2 × 4027, the product of two primes.

All about 8054

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