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The number 52676

52676 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 13 × 1013. Divisors (12): 1, 2, 4, 13, 26, 52, 1013, 2026, 4052, 13169, 26338, 52676.

Number

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How to work it out

  1. 1

    What is special about 52676: a Harshad number: divisible by its digit sum 26.

  2. 2

    52676 is composite. Its prime factorisation is

    52676=22×13×101352676 = 2^{2} \times 13 \times 1013
  3. 3

    The divisors add up to 99372; without 52676 itself that is 46696, so 52676 is deficient (46696 is less than 52676). Euler's totient φ(52676) = 24288 numbers up to 52676 share no factor with it.

  4. 4

    The digits of 52676 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52676 = 2^{2} \times 13 \times 1013 \]

52676 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors99372
Euler totient φ(n)24288
Square2774760976
Cube146163309171776
Square root229.512527 (= 2√13169)
Digit sum / digital root26 / 8
Collatz steps to 1140
Scientific notation5.2676 × 10410^{4}

52676 in other forms

FormValue
In wordsfifty-two thousand six hundred and seventy-six
Binary (base 2)1100110111000100
Octal (base 8)146704
Hexadecimal (base 16)CDC4
Base 32200020222
As time52676 seconds = 14 h 37 min 56 s

Is 52676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (52676 ÷ 2 = 26338)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 (52676 ÷ 4 = 13169)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 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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 8)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 52676 a prime number?

No. 52676 = 222^{2} × 13 × 1013, so it is divisible by 2.

What are the factors of 52676?

1, 2, 4, 13, 26, 52, 1013, 2026, 4052, 13169, 26338, 52676.

What is 52676 in binary?

1100110111000100 (hexadecimal CDC4, octal 146704).

What is the square root of 52676?

About 229.5125, exactly 2√13169.

Is 52676 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 52676?

52676 is a Harshad number: divisible by its digit sum 26.

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    52676: is it prime? Factors, square root, binary, Roman numeral | WordGPT