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The number 87073

87073 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1777. Divisors (6): 1, 7, 49, 1777, 12439, 87073.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    87073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    87073 is composite. Its prime factorisation is

    87073=72Ɨ177787073 = 7^{2} \times 1777
  3. 3

    The divisors add up to 101346; without 87073 itself that is 14273, so 87073 is deficient (14273 is less than 87073). Euler's totient φ(87073) = 74592 numbers up to 87073 share no factor with it.

  4. 4

    The digits of 87073 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87073 = 7^{2} \times 1777 \]

87073 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors101346
Euler totient φ(n)74592
Square7581707329
Cube660162002258017
Square root295.081345 (= 7√1777)
Digit sum / digital root25 / 7
Collatz steps to 1133
Scientific notation8.7073 Ɨ 10410^{4}

87073 in other forms

FormValue
In wordseighty-seven thousand and seventy-three
Binary (base 2)10101010000100001
Octal (base 8)252041
Hexadecimal (base 16)15421
Base 311102102221
As time87073 seconds = 24 h 11 min 13 s

Is 87073 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 3)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.
7Yes (87073 Ć· 7 = 12439)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 87073 a prime number?

No. 87073 = 727^{2} Ɨ 1777, so it is divisible by 7.

What are the factors of 87073?

1, 7, 49, 1777, 12439, 87073.

What is 87073 in binary?

10101010000100001 (hexadecimal 15421, octal 252041).

What is the square root of 87073?

About 295.0813, exactly 7√1777.

Is 87073 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 87073?

It is a composite number with 6 divisors.

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    87073: is it prime? Factors, square root, binary, Roman numeral | WordGPT