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The number 54475

54475 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2179. Divisors (6): 1, 5, 25, 2179, 10895, 54475.

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How to work it out

  1. 1

    What is special about 54475: a Harshad number: divisible by its digit sum 25.

  2. 2

    54475 is composite. Its prime factorisation is

    54475=52Ɨ217954475 = 5^{2} \times 2179
  3. 3

    The divisors add up to 67580; without 54475 itself that is 13105, so 54475 is deficient (13105 is less than 54475). Euler's totient φ(54475) = 43560 numbers up to 54475 share no factor with it.

  4. 4

    The digits of 54475 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54475 = 5^{2} \times 2179 \]

54475 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors67580
Euler totient φ(n)43560
Square2967525625
Cube161655958421875
Square root233.398800 (= 5√2179)
Digit sum / digital root25 / 7
Collatz steps to 147
Scientific notation5.4475 Ɨ 10410^{4}

54475 in other forms

FormValue
In wordsfifty-four thousand four hundred and seventy-five
Binary (base 2)1101010011001011
Octal (base 8)152313
Hexadecimal (base 16)D4CB
Base 32202201121
As time54475 seconds = 15 h 7 min 55 s

Is 54475 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 1)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.
5Yes (54475 Ć· 5 = 10895)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 3)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54475 a prime number?

No. 54475 = 525^{2} Ɨ 2179, so it is divisible by 5.

What are the factors of 54475?

1, 5, 25, 2179, 10895, 54475.

What is 54475 in binary?

1101010011001011 (hexadecimal D4CB, octal 152313).

What is the square root of 54475?

About 233.3988, exactly 5√2179.

Is 54475 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 54475?

54475 is a Harshad number: divisible by its digit sum 25.

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    54475: is it prime? Factors, square root, binary, Roman numeral | WordGPT