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The number 8978

8978 is a composite number with 6 divisors. Its prime factorisation is 2 Ɨ 67267^{2}. Divisors (6): 1, 2, 67, 134, 4489, 8978.

Number

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How to work it out

  1. 1

    8978 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

    8978 is composite. Its prime factorisation is

    8978=2Ɨ6728978 = 2 \times 67^{2}
  3. 3

    The divisors add up to 13671; without 8978 itself that is 4693, so 8978 is deficient (4693 is less than 8978). Euler's totient φ(8978) = 4422 numbers up to 8978 share no factor with it.

  4. 4

    The digits of 8978 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8978 = 2 \times 67^{2} \]

8978 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors13671
Euler totient φ(n)4422
Square80604484
Cube723667057352
Square root94.752309 (= 67√2)
Digit sum / digital root32 / 5
Collatz steps to 191
Scientific notation8.978 Ɨ 10310^{3}

8978 in other forms

FormValue
In wordseight thousand nine hundred and seventy-eight
Binary (base 2)10001100010010
Octal (base 8)21422
Hexadecimal (base 16)2312
Base 3110022112
As time8978 seconds = 2 h 29 min 38 s

Is 8978 divisible by 2 to 12?

DivisorAnswerRule
2Yes (8978 Ć· 2 = 4489)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.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 4)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 8978 a prime number?

No. 8978 = 2 Ɨ 67267^{2}, so it is divisible by 2.

What are the factors of 8978?

1, 2, 67, 134, 4489, 8978.

What is 8978 in binary?

10001100010010 (hexadecimal 2312, octal 21422).

What is the square root of 8978?

About 94.7523, exactly 67√2.

Is 8978 divisible by 3?

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

What is special about the number 8978?

It is a composite number with 6 divisors.

All about 8978

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