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The number 56741

56741 is a composite number with 4 divisors. Its prime factorisation is 23 × 2467. Divisors (4): 1, 23, 2467, 56741.

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How to work it out

  1. 1

    What is special about 56741: a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2467, the product of two primes.

  2. 2

    56741 is composite. Its prime factorisation is

    56741=23×246756741 = 23 \times 2467
  3. 3

    The divisors add up to 59232; without 56741 itself that is 2491, so 56741 is deficient (2491 is less than 56741). Euler's totient φ(56741) = 54252 numbers up to 56741 share no factor with it.

  4. 4

    The digits of 56741 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 56741 = 23 \times 2467 \]

56741 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors59232
Euler totient φ(n)54252
Square3219541081
Cube182679980477021
Square root238.203694
Digit sum / digital root23 / 5
Collatz steps to 160
Scientific notation5.6741 × 10410^{4}

56741 in other forms

FormValue
In wordsfifty-six thousand seven hundred and forty-one
Binary (base 2)1101110110100101
Octal (base 8)156645
Hexadecimal (base 16)DDA5
Base 32212211112
As time56741 seconds = 15 h 45 min 41 s

Is 56741 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 1)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 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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56741 a prime number?

No. 56741 = 23 × 2467, so it is divisible by 23.

What are the factors of 56741?

1, 23, 2467, 56741.

What is 56741 in binary?

1101110110100101 (hexadecimal DDA5, octal 156645).

What is the square root of 56741?

About 238.2037.

Is 56741 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 56741?

56741 is a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2467, the product of two primes.

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