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The number 76676

76676 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 29 × 661. Divisors (12): 1, 2, 4, 29, 58, 116, 661, 1322, 2644, 19169, 38338, 76676.

Number

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How to work it out

  1. 1

    76676 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

    76676 is composite. Its prime factorisation is

    76676=22×29×66176676 = 2^{2} \times 29 \times 661
  3. 3

    The divisors add up to 139020; without 76676 itself that is 62344, so 76676 is deficient (62344 is less than 76676). Euler's totient φ(76676) = 36960 numbers up to 76676 share no factor with it.

  4. 4

    The digits of 76676 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76676 = 2^{2} \times 29 \times 661 \]

76676 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors139020
Euler totient φ(n)36960
Square5879208976
Cube450794227443776
Square root276.904316 (= 2√19169)
Digit sum / digital root32 / 5
Collatz steps to 1156
Scientific notation7.6676 × 10410^{4}

76676 in other forms

FormValue
In wordsseventy-six thousand six hundred and seventy-six
Binary (base 2)10010101110000100
Octal (base 8)225604
Hexadecimal (base 16)12B84
Base 310220011212
As time76676 seconds = 21 h 17 min 56 s

Is 76676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (76676 ÷ 2 = 38338)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 (76676 ÷ 4 = 19169)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 5)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 5)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76676 a prime number?

No. 76676 = 222^{2} × 29 × 661, so it is divisible by 2.

What are the factors of 76676?

1, 2, 4, 29, 58, 116, 661, 1322, 2644, 19169, 38338, 76676.

What is 76676 in binary?

10010101110000100 (hexadecimal 12B84, octal 225604).

What is the square root of 76676?

About 276.9043, exactly 2√19169.

Is 76676 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 76676?

It is a composite number with 12 divisors.

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    76676: is it prime? Factors, square root, binary, Roman numeral | WordGPT