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The number 35125

35125 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 281. Divisors (8): 1, 5, 25, 125, 281, 1405, 7025, 35125.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    35125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    35125 is composite. Its prime factorisation is

    35125=53Ɨ28135125 = 5^{3} \times 281
  3. 3

    The divisors add up to 43992; without 35125 itself that is 8867, so 35125 is deficient (8867 is less than 35125). Euler's totient φ(35125) = 28000 numbers up to 35125 share no factor with it.

  4. 4

    The digits of 35125 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.

LaTeX source of the formulas on this page
\[ 35125 = 5^{3} \times 281 \]

35125 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors43992
Euler totient φ(n)28000
Square1233765625
Cube43336017578125
Square root187.416648 (= 5√1405)
Digit sum / digital root16 / 7
Collatz steps to 1142
Scientific notation3.5125 Ɨ 10410^{4}

35125 in other forms

FormValue
In wordsthirty-five thousand one hundred and twenty-five
Binary (base 2)1000100100110101
Octal (base 8)104465
Hexadecimal (base 16)8935
Base 31210011221
As time35125 seconds = 9 h 45 min 25 s

Is 35125 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 (35125 Ć· 5 = 7025)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 6)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 2)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 35125 a prime number?

No. 35125 = 535^{3} Ɨ 281, so it is divisible by 5.

What are the factors of 35125?

1, 5, 25, 125, 281, 1405, 7025, 35125.

What is 35125 in binary?

1000100100110101 (hexadecimal 8935, octal 104465).

What is the square root of 35125?

About 187.4166, exactly 5√1405.

Is 35125 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 35125?

It is a composite number with 8 divisors.

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    35125: is it prime? Factors, square root, binary, Roman numeral | WordGPT