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The number 42517

42517 is a composite number with 8 divisors. Its prime factorisation is 17 × 41 × 61. Divisors (8): 1, 17, 41, 61, 697, 1037, 2501, 42517.

Number

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How to work it out

  1. 1

    42517 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

    42517 is composite. Its prime factorisation is

    42517=17×41×6142517 = 17 \times 41 \times 61
  3. 3

    The divisors add up to 46872; without 42517 itself that is 4355, so 42517 is deficient (4355 is less than 42517). Euler's totient φ(42517) = 38400 numbers up to 42517 share no factor with it.

  4. 4

    The digits of 42517 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 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42517 = 17 \times 41 \times 61 \]

42517 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors46872
Euler totient φ(n)38400
Square1807695289
Cube76857780602413
Square root206.196508
Digit sum / digital root19 / 1
Collatz steps to 157
Scientific notation4.2517 × 10410^{4}

42517 in other forms

FormValue
In wordsforty-two thousand five hundred and seventeen
Binary (base 2)1010011000010101
Octal (base 8)123025
Hexadecimal (base 16)A615
Base 32011022201
As time42517 seconds = 11 h 48 min 37 s

Is 42517 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.
5No (remainder 2)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 42517 a prime number?

No. 42517 = 17 × 41 × 61, so it is divisible by 17.

What are the factors of 42517?

1, 17, 41, 61, 697, 1037, 2501, 42517.

What is 42517 in binary?

1010011000010101 (hexadecimal A615, octal 123025).

What is the square root of 42517?

About 206.1965.

Is 42517 divisible by 3?

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

What is special about the number 42517?

It is a composite number with 8 divisors.

Find the next one

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    42517: is it prime? Factors, square root, binary, Roman numeral | WordGPT