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The number 42263

42263 is a composite number with 4 divisors. Its prime factorisation is 13 × 3251. Divisors (4): 1, 13, 3251, 42263.

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How to work it out

  1. 1

    What is special about 42263: a semiprime: 13 × 3251, the product of two primes.

  2. 2

    42263 is composite. Its prime factorisation is

    42263=13×325142263 = 13 \times 3251
  3. 3

    The divisors add up to 45528; without 42263 itself that is 3265, so 42263 is deficient (3265 is less than 42263). Euler's totient φ(42263) = 39000 numbers up to 42263 share no factor with it.

  4. 4

    The digits of 42263 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42263 = 13 \times 3251 \]

42263 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors45528
Euler totient φ(n)39000
Square1786161169
Cube75488529485447
Square root205.579668
Digit sum / digital root17 / 8
Collatz steps to 157
Scientific notation4.2263 × 10410^{4}

42263 in other forms

FormValue
In wordsforty-two thousand two hundred and sixty-three
Binary (base 2)1010010100010111
Octal (base 8)122427
Hexadecimal (base 16)A517
Base 32010222022
As time42263 seconds = 11 h 44 min 23 s

Is 42263 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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.
7No (remainder 4)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42263 a prime number?

No. 42263 = 13 × 3251, so it is divisible by 13.

What are the factors of 42263?

1, 13, 3251, 42263.

What is 42263 in binary?

1010010100010111 (hexadecimal A517, octal 122427).

What is the square root of 42263?

About 205.5797.

Is 42263 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 42263?

42263 is a semiprime: 13 × 3251, the product of two primes.

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