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The number 54498

54498 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 293. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 293, 586, 879, 1758, 9083, 18166, 27249, 54498.

Number

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How to work it out

  1. 1

    54498 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

    54498 is composite. Its prime factorisation is

    54498=2×3×31×29354498 = 2 \times 3 \times 31 \times 293
  3. 3

    The divisors add up to 112896; without 54498 itself that is 58398, so 54498 is abundant (58398 is more than 54498). Euler's totient φ(54498) = 17520 numbers up to 54498 share no factor with it.

  4. 4

    The digits of 54498 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54498 = 2 \times 3 \times 31 \times 293 \]

54498 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors112896
Euler totient φ(n)17520
Square2970032004
Cube161860804153992
Square root233.448067
Digit sum / digital root30 / 3
Collatz steps to 165
Scientific notation5.4498 × 10410^{4}

54498 in other forms

FormValue
In wordsfifty-four thousand four hundred and ninety-eight
Binary (base 2)1101010011100010
Octal (base 8)152342
Hexadecimal (base 16)D4E2
Base 32202202110
As time54498 seconds = 15 h 8 min 18 s

Is 54498 divisible by 2 to 12?

DivisorAnswerRule
2Yes (54498 ÷ 2 = 27249)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (54498 ÷ 3 = 18166)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (54498 ÷ 6 = 9083)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54498 a prime number?

No. 54498 = 2 × 3 × 31 × 293, so it is divisible by 2.

What are the factors of 54498?

1, 2, 3, 6, 31, 62, 93, 186, 293, 586, 879, 1758, 9083, 18166, 27249, 54498.

What is 54498 in binary?

1101010011100010 (hexadecimal D4E2, octal 152342).

What is the square root of 54498?

About 233.4481.

Is 54498 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 54498?

It is a composite number with 16 divisors.

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    54498: is it prime? Factors, square root, binary, Roman numeral | WordGPT