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The number 54994

54994 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 887. Divisors (8): 1, 2, 31, 62, 887, 1774, 27497, 54994.

Number

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How to work it out

  1. 1

    What is special about 54994: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 31.

  2. 2

    54994 is composite. Its prime factorisation is

    54994=2×31×88754994 = 2 \times 31 \times 887
  3. 3

    The divisors add up to 85248; without 54994 itself that is 30254, so 54994 is deficient (30254 is less than 54994). Euler's totient φ(54994) = 26580 numbers up to 54994 share no factor with it.

  4. 4

    The digits of 54994 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54994 = 2 \times 31 \times 887 \]

54994 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors85248
Euler totient φ(n)26580
Square3024340036
Cube166320555939784
Square root234.507996
Digit sum / digital root31 / 4
Collatz steps to 191
Scientific notation5.4994 × 10410^{4}

54994 in other forms

FormValue
In wordsfifty-four thousand nine hundred and ninety-four
Binary (base 2)1101011011010010
Octal (base 8)153322
Hexadecimal (base 16)D6D2
Base 32210102211
As time54994 seconds = 15 h 16 min 34 s

Is 54994 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54994 ÷ 2 = 27497)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.
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 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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54994 a prime number?

No. 54994 = 2 × 31 × 887, so it is divisible by 2.

What are the factors of 54994?

1, 2, 31, 62, 887, 1774, 27497, 54994.

What is 54994 in binary?

1101011011010010 (hexadecimal D6D2, octal 153322).

What is the square root of 54994?

About 234.5080.

Is 54994 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 54994?

54994 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 31.

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