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The number 12476

12476 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 3119. Divisors (6): 1, 2, 4, 3119, 6238, 12476.

Number

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How to work it out

  1. 1

    12476 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

    12476 is composite. Its prime factorisation is

    12476=22×311912476 = 2^{2} \times 3119
  3. 3

    The divisors add up to 21840; without 12476 itself that is 9364, so 12476 is deficient (9364 is less than 12476). Euler's totient φ(12476) = 6236 numbers up to 12476 share no factor with it.

  4. 4

    The digits of 12476 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 12476 = 2^{2} \times 3119 \]

12476 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors21840
Euler totient φ(n)6236
Square155650576
Cube1941896586176
Square root111.696016 (= 2√3119)
Digit sum / digital root20 / 2
Collatz steps to 150
Scientific notation1.2476 × 10410^{4}

12476 in other forms

FormValue
In wordstwelve thousand four hundred and seventy-six
Binary (base 2)11000010111100
Octal (base 8)30274
Hexadecimal (base 16)30BC
Base 3122010002
As time12476 seconds = 3 h 27 min 56 s

Is 12476 divisible by 2 to 12?

DivisorAnswerRule
2Yes (12476 ÷ 2 = 6238)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.
4Yes (12476 ÷ 4 = 3119)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)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 6)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 12476 a prime number?

No. 12476 = 222^{2} × 3119, so it is divisible by 2.

What are the factors of 12476?

1, 2, 4, 3119, 6238, 12476.

What is 12476 in binary?

11000010111100 (hexadecimal 30BC, octal 30274).

What is the square root of 12476?

About 111.6960, exactly 2√3119.

Is 12476 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 12476?

It is a composite number with 6 divisors.

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    12476: is it prime? Factors, square root, binary, Roman numeral | WordGPT