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The number 10741

10741 is a composite number with 4 divisors. Its prime factorisation is 23 × 467. Divisors (4): 1, 23, 467, 10741.

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How to work it out

  1. 1

    What is special about 10741: a semiprime: 23 × 467, the product of two primes.

  2. 2

    10741 is composite. Its prime factorisation is

    10741=23×46710741 = 23 \times 467
  3. 3

    The divisors add up to 11232; without 10741 itself that is 491, so 10741 is deficient (491 is less than 10741). Euler's totient φ(10741) = 10252 numbers up to 10741 share no factor with it.

  4. 4

    The digits of 10741 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10741 = 23 \times 467 \]

10741 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors11232
Euler totient φ(n)10252
Square115369081
Cube1239179299021
Square root103.638796
Digit sum / digital root13 / 4
Collatz steps to 199
Scientific notation1.0741 × 10410^{4}

10741 in other forms

FormValue
In wordsten thousand seven hundred and forty-one
Binary (base 2)10100111110101
Octal (base 8)24765
Hexadecimal (base 16)29F5
Base 3112201211
As time10741 seconds = 2 h 59 min 1 s

Is 10741 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 1)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 3)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 4)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 5)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 10741 a prime number?

No. 10741 = 23 × 467, so it is divisible by 23.

What are the factors of 10741?

1, 23, 467, 10741.

What is 10741 in binary?

10100111110101 (hexadecimal 29F5, octal 24765).

What is the square root of 10741?

About 103.6388.

Is 10741 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 10741?

10741 is a semiprime: 23 × 467, the product of two primes.

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