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The number 54025

54025 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 2161. Divisors (6): 1, 5, 25, 2161, 10805, 54025.

Number

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How to work it out

  1. 1

    What is special about 54025: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    54025 is composite. Its prime factorisation is

    54025=52Ɨ216154025 = 5^{2} \times 2161
  3. 3

    The divisors add up to 67022; without 54025 itself that is 12997, so 54025 is deficient (12997 is less than 54025). Euler's totient φ(54025) = 43200 numbers up to 54025 share no factor with it.

  4. 4

    The digits of 54025 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54025 = 5^{2} \times 2161 \]

54025 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors67022
Euler totient φ(n)43200
Square2918700625
Cube157682801265625
Square root232.432786 (= 5√2161)
Digit sum / digital root16 / 7
Collatz steps to 1184
Scientific notation5.4025 Ɨ 10410^{4}

54025 in other forms

FormValue
In wordsfifty-four thousand and twenty-five
Binary (base 2)1101001100001001
Octal (base 8)151411
Hexadecimal (base 16)D309
Base 32202002221
As time54025 seconds = 15 h 0 min 25 s

Is 54025 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (54025 Ć· 5 = 10805)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 6)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 1)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54025 a prime number?

No. 54025 = 525^{2} Ɨ 2161, so it is divisible by 5.

What are the factors of 54025?

1, 5, 25, 2161, 10805, 54025.

What is 54025 in binary?

1101001100001001 (hexadecimal D309, octal 151411).

What is the square root of 54025?

About 232.4328, exactly 5√2161.

Is 54025 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 54025?

54025 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    54025: is it prime? Factors, square root, binary, Roman numeral | WordGPT