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The number 77986

77986 is a composite number with 4 divisors. Its prime factorisation is 2 × 38993. Divisors (4): 1, 2, 38993, 77986.

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How to work it out

  1. 1

    What is special about 77986: a semiprime: 2 × 38993, the product of two primes.

  2. 2

    77986 is composite. Its prime factorisation is

    77986=2×3899377986 = 2 \times 38993
  3. 3

    The divisors add up to 116982; without 77986 itself that is 38996, so 77986 is deficient (38996 is less than 77986). Euler's totient φ(77986) = 38992 numbers up to 77986 share no factor with it.

  4. 4

    The digits of 77986 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77986 = 2 \times 38993 \]

77986 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors116982
Euler totient φ(n)38992
Square6081816196
Cube474296517861256
Square root279.259736
Digit sum / digital root37 / 1
Collatz steps to 1125
Scientific notation7.7986 × 10410^{4}

77986 in other forms

FormValue
In wordsseventy-seven thousand nine hundred and eighty-six
Binary (base 2)10011000010100010
Octal (base 8)230242
Hexadecimal (base 16)130A2
Base 310221222101
As time77986 seconds = 21 h 39 min 46 s

Is 77986 divisible by 2 to 12?

DivisorAnswerRule
2Yes (77986 ÷ 2 = 38993)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 2)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 6)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 1)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 77986 a prime number?

No. 77986 = 2 × 38993, so it is divisible by 2.

What are the factors of 77986?

1, 2, 38993, 77986.

What is 77986 in binary?

10011000010100010 (hexadecimal 130A2, octal 230242).

What is the square root of 77986?

About 279.2597.

Is 77986 divisible by 3?

No. Its digits add up to 37, which is not a multiple of 3.

What is special about the number 77986?

77986 is a semiprime: 2 × 38993, the product of two primes.

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