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The number 42925

42925 is a composite number with 12 divisors. Its prime factorisation is 525^{2} × 17 × 101. Divisors (12): 1, 5, 17, 25, 85, 101, 425, 505, 1717, 2525, 8585, 42925.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 42925: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    42925 is composite. Its prime factorisation is

    42925=52×17×10142925 = 5^{2} \times 17 \times 101
  3. 3

    The divisors add up to 56916; without 42925 itself that is 13991, so 42925 is deficient (13991 is less than 42925). Euler's totient φ(42925) = 32000 numbers up to 42925 share no factor with it.

  4. 4

    The digits of 42925 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42925 = 5^{2} \times 17 \times 101 \]

42925 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors56916
Euler totient φ(n)32000
Square1842555625
Cube79091700203125
Square root207.183494 (= 5√1717)
Digit sum / digital root22 / 4
Collatz steps to 149
Scientific notation4.2925 × 10410^{4}

42925 in other forms

FormValue
In wordsforty-two thousand nine hundred and twenty-five
Binary (base 2)1010011110101101
Octal (base 8)123655
Hexadecimal (base 16)A7AD
Base 32011212211
As time42925 seconds = 11 h 55 min 25 s

Is 42925 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 (42925 ÷ 5 = 8585)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 42925 a prime number?

No. 42925 = 525^{2} × 17 × 101, so it is divisible by 5.

What are the factors of 42925?

1, 5, 17, 25, 85, 101, 425, 505, 1717, 2525, 8585, 42925.

What is 42925 in binary?

1010011110101101 (hexadecimal A7AD, octal 123655).

What is the square root of 42925?

About 207.1835, exactly 5√1717.

Is 42925 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 42925?

42925 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    42925: is it prime? Factors, square root, binary, Roman numeral | WordGPT