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The number 73987

73987 is a composite number with 4 divisors. Its prime factorisation is 241 × 307. Divisors (4): 1, 241, 307, 73987.

Number

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How to work it out

  1. 1

    What is special about 73987: a semiprime: 241 × 307, the product of two primes.

  2. 2

    73987 is composite. Its prime factorisation is

    73987=241×30773987 = 241 \times 307
  3. 3

    The divisors add up to 74536; without 73987 itself that is 549, so 73987 is deficient (549 is less than 73987). Euler's totient φ(73987) = 73440 numbers up to 73987 share no factor with it.

  4. 4

    The digits of 73987 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73987 = 241 \times 307 \]

73987 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors74536
Euler totient φ(n)73440
Square5474076169
Cube405010473515803
Square root272.005515
Digit sum / digital root34 / 7
Collatz steps to 1156
Scientific notation7.3987 × 10410^{4}

73987 in other forms

FormValue
In wordsseventy-three thousand nine hundred and eighty-seven
Binary (base 2)10010000100000011
Octal (base 8)220403
Hexadecimal (base 16)12103
Base 310202111021
As time73987 seconds = 20 h 33 min 7 s

Is 73987 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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73987 a prime number?

No. 73987 = 241 × 307, so it is divisible by 241.

What are the factors of 73987?

1, 241, 307, 73987.

What is 73987 in binary?

10010000100000011 (hexadecimal 12103, octal 220403).

What is the square root of 73987?

About 272.0055.

Is 73987 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 73987?

73987 is a semiprime: 241 × 307, the product of two primes.

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    73987: is it prime? Factors, square root, binary, Roman numeral | WordGPT