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The number 21053

21053 is a composite number with 4 divisors. Its prime factorisation is 37 × 569. Divisors (4): 1, 37, 569, 21053.

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How to work it out

  1. 1

    What is special about 21053: a semiprime: 37 × 569, the product of two primes.

  2. 2

    21053 is composite. Its prime factorisation is

    21053=37×56921053 = 37 \times 569
  3. 3

    The divisors add up to 21660; without 21053 itself that is 607, so 21053 is deficient (607 is less than 21053). Euler's totient φ(21053) = 20448 numbers up to 21053 share no factor with it.

  4. 4

    The digits of 21053 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 193 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21053 = 37 \times 569 \]

21053 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors21660
Euler totient φ(n)20448
Square443228809
Cube9331296115877
Square root145.096520
Digit sum / digital root11 / 2
Collatz steps to 1193
Scientific notation2.1053 × 10410^{4}

21053 in other forms

FormValue
In wordstwenty-one thousand and fifty-three
Binary (base 2)101001000111101
Octal (base 8)51075
Hexadecimal (base 16)523D
Base 31001212202
As time21053 seconds = 5 h 50 min 53 s

Is 21053 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 3)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 4)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 21053 a prime number?

No. 21053 = 37 × 569, so it is divisible by 37.

What are the factors of 21053?

1, 37, 569, 21053.

What is 21053 in binary?

101001000111101 (hexadecimal 523D, octal 51075).

What is the square root of 21053?

About 145.0965.

Is 21053 divisible by 3?

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

What is special about the number 21053?

21053 is a semiprime: 37 × 569, the product of two primes.

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