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The number 8977

8977 is a composite number with 4 divisors. Its prime factorisation is 47 × 191. Divisors (4): 1, 47, 191, 8977.

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How to work it out

  1. 1

    What is special about 8977: a semiprime: 47 × 191, the product of two primes.

  2. 2

    8977 is composite. Its prime factorisation is

    8977=47×1918977 = 47 \times 191
  3. 3

    The divisors add up to 9216; without 8977 itself that is 239, so 8977 is deficient (239 is less than 8977). Euler's totient φ(8977) = 8740 numbers up to 8977 share no factor with it.

  4. 4

    The digits of 8977 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8977 = 47 \times 191 \]

8977 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors9216
Euler totient φ(n)8740
Square80586529
Cube723425270833
Square root94.747032
Digit sum / digital root31 / 4
Collatz steps to 147
Scientific notation8.977 × 10310^{3}

8977 in other forms

FormValue
In wordseight thousand nine hundred and seventy-seven
Binary (base 2)10001100010001
Octal (base 8)21421
Hexadecimal (base 16)2311
Base 3110022111
As time8977 seconds = 2 h 29 min 37 s

Is 8977 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 8977 a prime number?

No. 8977 = 47 × 191, so it is divisible by 47.

What are the factors of 8977?

1, 47, 191, 8977.

What is 8977 in binary?

10001100010001 (hexadecimal 2311, octal 21421).

What is the square root of 8977?

About 94.7470.

Is 8977 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 8977?

8977 is a semiprime: 47 × 191, the product of two primes.

All about 8977

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