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The number 60025

60025 is a perfect square (245²). Its prime factorisation is 525^{2} × 747^{4}. Divisors (15): 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 2401, 8575, 12005, 60025.

Number

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How to work it out

  1. 1

    What is special about 60025: a perfect square (245²).

  2. 2

    60025 is composite. Its prime factorisation is

    60025=52×7460025 = 5^{2} \times 7^{4}
  3. 3

    The divisors add up to 86831; without 60025 itself that is 26806, so 60025 is deficient (26806 is less than 60025). Euler's totient φ(60025) = 41160 numbers up to 60025 share no factor with it.

  4. 4

    The digits of 60025 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60025 = 5^{2} \times 7^{4} \]

60025 at a glance

PropertyValue
Typecomposite
Number of divisors15
Sum of divisors86831
Euler totient φ(n)41160
Square3603000625
Cube216270112515625
Square root245
Digit sum / digital root13 / 4
Collatz steps to 1117
Scientific notation6.0025 × 10410^{4}
Perfect power2452245^{2}

60025 in other forms

FormValue
In wordssixty thousand and twenty-five
Binary (base 2)1110101001111001
Octal (base 8)165171
Hexadecimal (base 16)EA79
Base 310001100011
As time60025 seconds = 16 h 40 min 25 s

Is 60025 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 (60025 ÷ 5 = 12005)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.
7Yes (60025 ÷ 7 = 8575)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 4)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 9)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 60025 a prime number?

No. 60025 = 525^{2} × 747^{4}, so it is divisible by 5.

What are the factors of 60025?

1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 2401, 8575, 12005, 60025.

What is 60025 in binary?

1110101001111001 (hexadecimal EA79, octal 165171).

What is the square root of 60025?

245, because 245 × 245 = 60025.

Is 60025 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 60025?

60025 is a perfect square (245²).

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    60025: is it prime? Factors, square root, binary, Roman numeral | WordGPT