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The number 5042

5042 is a composite number with 4 divisors. Its prime factorisation is 2 × 2521. Divisors (4): 1, 2, 2521, 5042.

Number

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How to work it out

  1. 1

    What is special about 5042: a semiprime: 2 × 2521, the product of two primes.

  2. 2

    5042 is composite. Its prime factorisation is

    5042=2×25215042 = 2 \times 2521
  3. 3

    The divisors add up to 7566; without 5042 itself that is 2524, so 5042 is deficient (2524 is less than 5042). Euler's totient φ(5042) = 2520 numbers up to 5042 share no factor with it.

  4. 4

    The digits of 5042 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5042 = 2 \times 2521 \]

5042 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7566
Euler totient φ(n)2520
Square25421764
Cube128176534088
Square root71.007042
Digit sum / digital root11 / 2
Collatz steps to 141
Scientific notation5.042 × 10310^{3}

5042 in other forms

FormValue
In wordsfive thousand and forty-two
Binary (base 2)1001110110010
Octal (base 8)11662
Hexadecimal (base 16)13B2
Base 320220202
As time5042 seconds = 1 h 24 min 2 s

Is 5042 divisible by 2 to 12?

DivisorAnswerRule
2Yes (5042 ÷ 2 = 2521)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 2)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5042 a prime number?

No. 5042 = 2 × 2521, so it is divisible by 2.

What are the factors of 5042?

1, 2, 2521, 5042.

What is 5042 in binary?

1001110110010 (hexadecimal 13B2, octal 11662).

What is the square root of 5042?

About 71.0070.

Is 5042 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 5042?

5042 is a semiprime: 2 × 2521, the product of two primes.

All about 5042

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