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The number 26525

26525 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1061. Divisors (6): 1, 5, 25, 1061, 5305, 26525.

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How to work it out

  1. 1

    What is special about 26525: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    26525 is composite. Its prime factorisation is

    26525=52Ɨ106126525 = 5^{2} \times 1061
  3. 3

    The divisors add up to 32922; without 26525 itself that is 6397, so 26525 is deficient (6397 is less than 26525). Euler's totient φ(26525) = 21200 numbers up to 26525 share no factor with it.

  4. 4

    The digits of 26525 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.

LaTeX source of the formulas on this page
\[ 26525 = 5^{2} \times 1061 \]

26525 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors32922
Euler totient φ(n)21200
Square703575625
Cube18662343453125
Square root162.864975 (= 5√1061)
Digit sum / digital root20 / 2
Collatz steps to 1139
Scientific notation2.6525 Ɨ 10410^{4}

26525 in other forms

FormValue
In wordstwenty-six thousand five hundred and twenty-five
Binary (base 2)110011110011101
Octal (base 8)63635
Hexadecimal (base 16)679D
Base 31100101102
As time26525 seconds = 7 h 22 min 5 s

Is 26525 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 (26525 Ć· 5 = 5305)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 2)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 2)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 26525 a prime number?

No. 26525 = 525^{2} Ɨ 1061, so it is divisible by 5.

What are the factors of 26525?

1, 5, 25, 1061, 5305, 26525.

What is 26525 in binary?

110011110011101 (hexadecimal 679D, octal 63635).

What is the square root of 26525?

About 162.8650, exactly 5√1061.

Is 26525 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 26525?

26525 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    26525: is it prime? Factors, square root, binary, Roman numeral | WordGPT