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The number 87676

87676 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 23 × 953. Divisors (12): 1, 2, 4, 23, 46, 92, 953, 1906, 3812, 21919, 43838, 87676.

Number

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How to work it out

  1. 1

    87676 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

    87676 is composite. Its prime factorisation is

    87676=22×23×95387676 = 2^{2} \times 23 \times 953
  3. 3

    The divisors add up to 160272; without 87676 itself that is 72596, so 87676 is deficient (72596 is less than 87676). Euler's totient φ(87676) = 41888 numbers up to 87676 share no factor with it.

  4. 4

    The digits of 87676 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87676 = 2^{2} \times 23 \times 953 \]

87676 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors160272
Euler totient φ(n)41888
Square7687080976
Cube673972511651776
Square root296.101334 (= 2√21919)
Digit sum / digital root34 / 7
Collatz steps to 1195
Scientific notation8.7676 × 10410^{4}

87676 in other forms

FormValue
In wordseighty-seven thousand six hundred and seventy-six
Binary (base 2)10101011001111100
Octal (base 8)253174
Hexadecimal (base 16)1567C
Base 311110021021
As time87676 seconds = 24 h 21 min 16 s

Is 87676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (87676 ÷ 2 = 43838)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.
4Yes (87676 ÷ 4 = 21919)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 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 4)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87676 a prime number?

No. 87676 = 222^{2} × 23 × 953, so it is divisible by 2.

What are the factors of 87676?

1, 2, 4, 23, 46, 92, 953, 1906, 3812, 21919, 43838, 87676.

What is 87676 in binary?

10101011001111100 (hexadecimal 1567C, octal 253174).

What is the square root of 87676?

About 296.1013, exactly 2√21919.

Is 87676 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 87676?

It is a composite number with 12 divisors.

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    87676: is it prime? Factors, square root, binary, Roman numeral | WordGPT