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The number 35425

35425 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 13 × 109. Divisors (12): 1, 5, 13, 25, 65, 109, 325, 545, 1417, 2725, 7085, 35425.

Number

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How to work it out

  1. 1

    What is special about 35425: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    35425 is composite. Its prime factorisation is

    35425=52×13×10935425 = 5^{2} \times 13 \times 109
  3. 3

    The divisors add up to 47740; without 35425 itself that is 12315, so 35425 is deficient (12315 is less than 35425). Euler's totient φ(35425) = 25920 numbers up to 35425 share no factor with it.

  4. 4

    The digits of 35425 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 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 35425 = 5^{2} \times 13 \times 109 \]

35425 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors47740
Euler totient φ(n)25920
Square1254930625
Cube44455917390625
Square root188.215302 (= 5√1417)
Digit sum / digital root19 / 1
Collatz steps to 180
Scientific notation3.5425 × 10410^{4}

35425 in other forms

FormValue
In wordsthirty-five thousand four hundred and twenty-five
Binary (base 2)1000101001100001
Octal (base 8)105141
Hexadecimal (base 16)8A61
Base 31210121001
As time35425 seconds = 9 h 50 min 25 s

Is 35425 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 (35425 ÷ 5 = 7085)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 1)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 5)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 35425 a prime number?

No. 35425 = 525^{2} × 13 × 109, so it is divisible by 5.

What are the factors of 35425?

1, 5, 13, 25, 65, 109, 325, 545, 1417, 2725, 7085, 35425.

What is 35425 in binary?

1000101001100001 (hexadecimal 8A61, octal 105141).

What is the square root of 35425?

About 188.2153, exactly 5√1417.

Is 35425 divisible by 3?

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

What is special about the number 35425?

35425 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    35425: is it prime? Factors, square root, binary, Roman numeral | WordGPT