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The number 76525

76525 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 3061. Divisors (6): 1, 5, 25, 3061, 15305, 76525.

Number

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How to work it out

  1. 1

    What is special about 76525: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.

  2. 2

    76525 is composite. Its prime factorisation is

    76525=52Ɨ306176525 = 5^{2} \times 3061
  3. 3

    The divisors add up to 94922; without 76525 itself that is 18397, so 76525 is deficient (18397 is less than 76525). Euler's totient φ(76525) = 61200 numbers up to 76525 share no factor with it.

  4. 4

    The digits of 76525 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 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76525 = 5^{2} \times 3061 \]

76525 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors94922
Euler totient φ(n)61200
Square5856075625
Cube448136187203125
Square root276.631524 (= 5√3061)
Digit sum / digital root25 / 7
Collatz steps to 181
Scientific notation7.6525 Ɨ 10410^{4}

76525 in other forms

FormValue
In wordsseventy-six thousand five hundred and twenty-five
Binary (base 2)10010101011101101
Octal (base 8)225355
Hexadecimal (base 16)12AED
Base 310212222021
As time76525 seconds = 21 h 15 min 25 s

Is 76525 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 (76525 Ć· 5 = 15305)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 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 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 76525 a prime number?

No. 76525 = 525^{2} Ɨ 3061, so it is divisible by 5.

What are the factors of 76525?

1, 5, 25, 3061, 15305, 76525.

What is 76525 in binary?

10010101011101101 (hexadecimal 12AED, octal 225355).

What is the square root of 76525?

About 276.6315, exactly 5√3061.

Is 76525 divisible by 3?

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

What is special about the number 76525?

76525 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.

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    76525: is it prime? Factors, square root, binary, Roman numeral | WordGPT