WordGPT

The number 54925

54925 is a composite number with 12 divisors. Its prime factorisation is 525^{2} Ɨ 13313^{3}. Divisors (12): 1, 5, 13, 25, 65, 169, 325, 845, 2197, 4225, 10985, 54925.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 54925: a Harshad number: divisible by its digit sum 25.

  2. 2

    54925 is composite. Its prime factorisation is

    54925=52Ɨ13354925 = 5^{2} \times 13^{3}
  3. 3

    The divisors add up to 73780; without 54925 itself that is 18855, so 54925 is deficient (18855 is less than 54925). Euler's totient φ(54925) = 40560 numbers up to 54925 share no factor with it.

  4. 4

    The digits of 54925 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 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54925 = 5^{2} \times 13^{3} \]

54925 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors73780
Euler totient φ(n)40560
Square3016755625
Cube165695302703125
Square root234.360833 (= 65√13)
Digit sum / digital root25 / 7
Collatz steps to 1153
Scientific notation5.4925 Ɨ 10410^{4}

54925 in other forms

FormValue
In wordsfifty-four thousand nine hundred and twenty-five
Binary (base 2)1101011010001101
Octal (base 8)153215
Hexadecimal (base 16)D68D
Base 32210100021
As time54925 seconds = 15 h 15 min 25 s

Is 54925 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 (54925 Ć· 5 = 10985)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 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 5)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 2)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 54925 a prime number?

No. 54925 = 525^{2} Ɨ 13313^{3}, so it is divisible by 5.

What are the factors of 54925?

1, 5, 13, 25, 65, 169, 325, 845, 2197, 4225, 10985, 54925.

What is 54925 in binary?

1101011010001101 (hexadecimal D68D, octal 153215).

What is the square root of 54925?

About 234.3608, exactly 65√13.

Is 54925 divisible by 3?

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

What is special about the number 54925?

54925 is a Harshad number: divisible by its digit sum 25.

Find the next one

Nearby numbers

    54925: is it prime? Factors, square root, binary, Roman numeral | WordGPT