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The number 16525

16525 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 661. Divisors (6): 1, 5, 25, 661, 3305, 16525.

Number

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How to work it out

  1. 1

    What is special about 16525: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    16525 is composite. Its prime factorisation is

    16525=52Ɨ66116525 = 5^{2} \times 661
  3. 3

    The divisors add up to 20522; without 16525 itself that is 3997, so 16525 is deficient (3997 is less than 16525). Euler's totient φ(16525) = 13200 numbers up to 16525 share no factor with it.

  4. 4

    The digits of 16525 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16525 = 5^{2} \times 661 \]

16525 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors20522
Euler totient φ(n)13200
Square273075625
Cube4512574703125
Square root128.549601 (= 5√661)
Digit sum / digital root19 / 1
Collatz steps to 1128
Scientific notation1.6525 Ɨ 10410^{4}

16525 in other forms

FormValue
In wordssixteen thousand five hundred and twenty-five
Binary (base 2)100000010001101
Octal (base 8)40215
Hexadecimal (base 16)408D
Base 3211200001
As time16525 seconds = 4 h 35 min 25 s

Is 16525 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 (16525 Ć· 5 = 3305)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 5)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 1)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 3)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 16525 a prime number?

No. 16525 = 525^{2} Ɨ 661, so it is divisible by 5.

What are the factors of 16525?

1, 5, 25, 661, 3305, 16525.

What is 16525 in binary?

100000010001101 (hexadecimal 408D, octal 40215).

What is the square root of 16525?

About 128.5496, exactly 5√661.

Is 16525 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 16525?

16525 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    16525: is it prime? Factors, square root, binary, Roman numeral | WordGPT