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The number 76987

76987 is a composite number with 4 divisors. Its prime factorisation is 167 × 461. Divisors (4): 1, 167, 461, 76987.

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How to work it out

  1. 1

    What is special about 76987: a semiprime: 167 × 461, the product of two primes.

  2. 2

    76987 is composite. Its prime factorisation is

    76987=167×46176987 = 167 \times 461
  3. 3

    The divisors add up to 77616; without 76987 itself that is 629, so 76987 is deficient (629 is less than 76987). Euler's totient φ(76987) = 76360 numbers up to 76987 share no factor with it.

  4. 4

    The digits of 76987 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 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76987 = 167 \times 461 \]

76987 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors77616
Euler totient φ(n)76360
Square5926998169
Cube456301808036803
Square root277.465313
Digit sum / digital root37 / 1
Collatz steps to 194
Scientific notation7.6987 × 10410^{4}

76987 in other forms

FormValue
In wordsseventy-six thousand nine hundred and eighty-seven
Binary (base 2)10010110010111011
Octal (base 8)226273
Hexadecimal (base 16)12CBB
Base 310220121101
As time76987 seconds = 21 h 23 min 7 s

Is 76987 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 3)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 3)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76987 a prime number?

No. 76987 = 167 × 461, so it is divisible by 167.

What are the factors of 76987?

1, 167, 461, 76987.

What is 76987 in binary?

10010110010111011 (hexadecimal 12CBB, octal 226273).

What is the square root of 76987?

About 277.4653.

Is 76987 divisible by 3?

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

What is special about the number 76987?

76987 is a semiprime: 167 × 461, the product of two primes.

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    76987: is it prime? Factors, square root, binary, Roman numeral | WordGPT