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The number 21274

21274 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 967. Divisors (8): 1, 2, 11, 22, 967, 1934, 10637, 21274.

Number

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How to work it out

  1. 1

    21274 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

    21274 is composite. Its prime factorisation is

    21274=2×11×96721274 = 2 \times 11 \times 967
  3. 3

    The divisors add up to 34848; without 21274 itself that is 13574, so 21274 is deficient (13574 is less than 21274). Euler's totient φ(21274) = 9660 numbers up to 21274 share no factor with it.

  4. 4

    The digits of 21274 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 56 steps to reach 1.

LaTeX source of the formulas on this page
\[ 21274 = 2 \times 11 \times 967 \]

21274 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors34848
Euler totient φ(n)9660
Square452583076
Cube9628252358824
Square root145.856093
Digit sum / digital root16 / 7
Collatz steps to 156
Scientific notation2.1274 × 10410^{4}

21274 in other forms

FormValue
In wordstwenty-one thousand two hundred and seventy-four
Binary (base 2)101001100011010
Octal (base 8)51432
Hexadecimal (base 16)531A
Base 31002011221
As time21274 seconds = 5 h 54 min 34 s

Is 21274 divisible by 2 to 12?

DivisorAnswerRule
2Yes (21274 ÷ 2 = 10637)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 2)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 4)A number is divisible by 10 if the last digit is 0.
11Yes (21274 ÷ 11 = 1934)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 21274 a prime number?

No. 21274 = 2 × 11 × 967, so it is divisible by 2.

What are the factors of 21274?

1, 2, 11, 22, 967, 1934, 10637, 21274.

What is 21274 in binary?

101001100011010 (hexadecimal 531A, octal 51432).

What is the square root of 21274?

About 145.8561.

Is 21274 divisible by 3?

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

What is special about the number 21274?

It is a composite number with 8 divisors.

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    21274: is it prime? Factors, square root, binary, Roman numeral | WordGPT