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The number 19741

19741 is a composite number with 4 divisors. Its prime factorisation is 19 × 1039. Divisors (4): 1, 19, 1039, 19741.

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How to work it out

  1. 1

    What is special about 19741: a semiprime: 19 × 1039, the product of two primes.

  2. 2

    19741 is composite. Its prime factorisation is

    19741=19×103919741 = 19 \times 1039
  3. 3

    The divisors add up to 20800; without 19741 itself that is 1059, so 19741 is deficient (1059 is less than 19741). Euler's totient φ(19741) = 18684 numbers up to 19741 share no factor with it.

  4. 4

    The digits of 19741 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 198 steps to reach 1.

LaTeX source of the formulas on this page
\[ 19741 = 19 \times 1039 \]

19741 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors20800
Euler totient φ(n)18684
Square389707081
Cube7693207486021
Square root140.502669
Digit sum / digital root22 / 4
Collatz steps to 1198
Scientific notation1.9741 × 10410^{4}

19741 in other forms

FormValue
In wordsnineteen thousand seven hundred and forty-one
Binary (base 2)100110100011101
Octal (base 8)46435
Hexadecimal (base 16)4D1D
Base 31000002011
As time19741 seconds = 5 h 29 min 1 s

Is 19741 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 1)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 7)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 19741 a prime number?

No. 19741 = 19 × 1039, so it is divisible by 19.

What are the factors of 19741?

1, 19, 1039, 19741.

What is 19741 in binary?

100110100011101 (hexadecimal 4D1D, octal 46435).

What is the square root of 19741?

About 140.5027.

Is 19741 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 19741?

19741 is a semiprime: 19 × 1039, the product of two primes.

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