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The number 35575

35575 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1423. Divisors (6): 1, 5, 25, 1423, 7115, 35575.

Number

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How to work it out

  1. 1

    What is special about 35575: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.

  2. 2

    35575 is composite. Its prime factorisation is

    35575=52Ɨ142335575 = 5^{2} \times 1423
  3. 3

    The divisors add up to 44144; without 35575 itself that is 8569, so 35575 is deficient (8569 is less than 35575). Euler's totient φ(35575) = 28440 numbers up to 35575 share no factor with it.

  4. 4

    The digits of 35575 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 186 steps to reach 1.

LaTeX source of the formulas on this page
\[ 35575 = 5^{2} \times 1423 \]

35575 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors44144
Euler totient φ(n)28440
Square1265580625
Cube45023030734375
Square root188.613361 (= 5√1423)
Digit sum / digital root25 / 7
Collatz steps to 1186
Scientific notation3.5575 Ɨ 10410^{4}

35575 in other forms

FormValue
In wordsthirty-five thousand five hundred and seventy-five
Binary (base 2)1000101011110111
Octal (base 8)105367
Hexadecimal (base 16)8AF7
Base 31210210121
As time35575 seconds = 9 h 52 min 55 s

Is 35575 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (35575 Ć· 5 = 7115)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 7)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 35575 a prime number?

No. 35575 = 525^{2} Ɨ 1423, so it is divisible by 5.

What are the factors of 35575?

1, 5, 25, 1423, 7115, 35575.

What is 35575 in binary?

1000101011110111 (hexadecimal 8AF7, octal 105367).

What is the square root of 35575?

About 188.6134, exactly 5√1423.

Is 35575 divisible by 3?

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

What is special about the number 35575?

35575 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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    35575: is it prime? Factors, square root, binary, Roman numeral | WordGPT