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The number 80977

80977 is a composite number with 4 divisors. Its prime factorisation is 13 × 6229. Divisors (4): 1, 13, 6229, 80977.

Number

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How to work it out

  1. 1

    What is special about 80977: a semiprime: 13 × 6229, the product of two primes.

  2. 2

    80977 is composite. Its prime factorisation is

    80977=13×622980977 = 13 \times 6229
  3. 3

    The divisors add up to 87220; without 80977 itself that is 6243, so 80977 is deficient (6243 is less than 80977). Euler's totient φ(80977) = 74736 numbers up to 80977 share no factor with it.

  4. 4

    The digits of 80977 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 182 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80977 = 13 \times 6229 \]

80977 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors87220
Euler totient φ(n)74736
Square6557274529
Cube530988419534833
Square root284.564580
Digit sum / digital root31 / 4
Collatz steps to 1182
Scientific notation8.0977 × 10410^{4}

80977 in other forms

FormValue
In wordseighty thousand nine hundred and seventy-seven
Binary (base 2)10011110001010001
Octal (base 8)236121
Hexadecimal (base 16)13C51
Base 311010002011
As time80977 seconds = 22 h 29 min 37 s

Is 80977 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 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 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 6)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 80977 a prime number?

No. 80977 = 13 × 6229, so it is divisible by 13.

What are the factors of 80977?

1, 13, 6229, 80977.

What is 80977 in binary?

10011110001010001 (hexadecimal 13C51, octal 236121).

What is the square root of 80977?

About 284.5646.

Is 80977 divisible by 3?

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

What is special about the number 80977?

80977 is a semiprime: 13 × 6229, the product of two primes.

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    80977: is it prime? Factors, square root, binary, Roman numeral | WordGPT