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The number 42497

42497 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 467. Divisors (8): 1, 7, 13, 91, 467, 3269, 6071, 42497.

Number

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How to work it out

  1. 1

    42497 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

    42497 is composite. Its prime factorisation is

    42497=7×13×46742497 = 7 \times 13 \times 467
  3. 3

    The divisors add up to 52416; without 42497 itself that is 9919, so 42497 is deficient (9919 is less than 42497). Euler's totient φ(42497) = 33552 numbers up to 42497 share no factor with it.

  4. 4

    The digits of 42497 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42497 = 7 \times 13 \times 467 \]

42497 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors52416
Euler totient φ(n)33552
Square1805995009
Cube76749369897473
Square root206.148005
Digit sum / digital root26 / 8
Collatz steps to 1225
Scientific notation4.2497 × 10410^{4}

42497 in other forms

FormValue
In wordsforty-two thousand four hundred and ninety-seven
Binary (base 2)1010011000000001
Octal (base 8)123001
Hexadecimal (base 16)A601
Base 32011021222
As time42497 seconds = 11 h 48 min 17 s

Is 42497 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (42497 ÷ 7 = 6071)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 8)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42497 a prime number?

No. 42497 = 7 × 13 × 467, so it is divisible by 7.

What are the factors of 42497?

1, 7, 13, 91, 467, 3269, 6071, 42497.

What is 42497 in binary?

1010011000000001 (hexadecimal A601, octal 123001).

What is the square root of 42497?

About 206.1480.

Is 42497 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 42497?

It is a composite number with 8 divisors.

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    42497: is it prime? Factors, square root, binary, Roman numeral | WordGPT