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The number 21047

21047 is a composite number with 4 divisors. Its prime factorisation is 13 × 1619. Divisors (4): 1, 13, 1619, 21047.

Number

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How to work it out

  1. 1

    What is special about 21047: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1619, the product of two primes.

  2. 2

    21047 is composite. Its prime factorisation is

    21047=13×161921047 = 13 \times 1619
  3. 3

    The divisors add up to 22680; without 21047 itself that is 1633, so 21047 is deficient (1633 is less than 21047). Euler's totient φ(21047) = 19416 numbers up to 21047 share no factor with it.

  4. 4

    The digits of 21047 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21047 = 13 \times 1619 \]

21047 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors22680
Euler totient φ(n)19416
Square442976209
Cube9323320270823
Square root145.075842
Digit sum / digital root14 / 5
Collatz steps to 1180
Scientific notation2.1047 × 10410^{4}

21047 in other forms

FormValue
In wordstwenty-one thousand and forty-seven
Binary (base 2)101001000110111
Octal (base 8)51067
Hexadecimal (base 16)5237
Base 31001212112
As time21047 seconds = 5 h 50 min 47 s

Is 21047 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 2)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 5)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 21047 a prime number?

No. 21047 = 13 × 1619, so it is divisible by 13.

What are the factors of 21047?

1, 13, 1619, 21047.

What is 21047 in binary?

101001000110111 (hexadecimal 5237, octal 51067).

What is the square root of 21047?

About 145.0758.

Is 21047 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 21047?

21047 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 1619, the product of two primes.

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