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The number 7025

7025 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 281. Divisors (6): 1, 5, 25, 281, 1405, 7025.

Number

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How to work it out

  1. 1

    7025 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

    7025 is composite. Its prime factorisation is

    7025=52Ɨ2817025 = 5^{2} \times 281
  3. 3

    The divisors add up to 8742; without 7025 itself that is 1717, so 7025 is deficient (1717 is less than 7025). Euler's totient φ(7025) = 5600 numbers up to 7025 share no factor with it.

  4. 4

    The digits of 7025 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7025 = 5^{2} \times 281 \]

7025 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors8742
Euler totient φ(n)5600
Square49350625
Cube346688140625
Square root83.815273 (= 5√281)
Digit sum / digital root14 / 5
Collatz steps to 157
Scientific notation7.025 Ɨ 10310^{3}

7025 in other forms

FormValue
In wordsseven thousand and twenty-five
Binary (base 2)1101101110001
Octal (base 8)15561
Hexadecimal (base 16)1B71
Base 3100122012
As time7025 seconds = 1 h 57 min 5 s

Is 7025 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 2)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 (7025 Ć· 5 = 1405)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 5)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7025 a prime number?

No. 7025 = 525^{2} Ɨ 281, so it is divisible by 5.

What are the factors of 7025?

1, 5, 25, 281, 1405, 7025.

What is 7025 in binary?

1101101110001 (hexadecimal 1B71, octal 15561).

What is the square root of 7025?

About 83.8153, exactly 5√281.

Is 7025 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 7025?

It is a composite number with 6 divisors.

All about 7025

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