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The number 21463

21463 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 127. Divisors (6): 1, 13, 127, 169, 1651, 21463.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    21463 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    21463 is composite. Its prime factorisation is

    21463=132Ɨ12721463 = 13^{2} \times 127
  3. 3

    The divisors add up to 23424; without 21463 itself that is 1961, so 21463 is deficient (1961 is less than 21463). Euler's totient φ(21463) = 19656 numbers up to 21463 share no factor with it.

  4. 4

    The digits of 21463 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21463 = 13^{2} \times 127 \]

21463 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors23424
Euler totient φ(n)19656
Square460660369
Cube9887153499847
Square root146.502560 (= 13√127)
Digit sum / digital root16 / 7
Collatz steps to 148
Scientific notation2.1463 Ɨ 10410^{4}

21463 in other forms

FormValue
In wordstwenty-one thousand four hundred and sixty-three
Binary (base 2)101001111010111
Octal (base 8)51727
Hexadecimal (base 16)53D7
Base 31002102221
As time21463 seconds = 5 h 57 min 43 s

Is 21463 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 3)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 21463 a prime number?

No. 21463 = 13213^{2} Ɨ 127, so it is divisible by 13.

What are the factors of 21463?

1, 13, 127, 169, 1651, 21463.

What is 21463 in binary?

101001111010111 (hexadecimal 53D7, octal 51727).

What is the square root of 21463?

About 146.5026, exactly 13√127.

Is 21463 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 21463?

It is a composite number with 6 divisors.

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    21463: is it prime? Factors, square root, binary, Roman numeral | WordGPT