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The number 87667

87667 is a composite number with 4 divisors. Its prime factorisation is 29 × 3023. Divisors (4): 1, 29, 3023, 87667.

Number

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How to work it out

  1. 1

    What is special about 87667: a semiprime: 29 × 3023, the product of two primes.

  2. 2

    87667 is composite. Its prime factorisation is

    87667=29×302387667 = 29 \times 3023
  3. 3

    The divisors add up to 90720; without 87667 itself that is 3053, so 87667 is deficient (3053 is less than 87667). Euler's totient φ(87667) = 84616 numbers up to 87667 share no factor with it.

  4. 4

    The digits of 87667 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 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87667 = 29 \times 3023 \]

87667 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors90720
Euler totient φ(n)84616
Square7685502889
Cube673764981769963
Square root296.086136
Digit sum / digital root34 / 7
Collatz steps to 1195
Scientific notation8.7667 × 10410^{4}

87667 in other forms

FormValue
In wordseighty-seven thousand six hundred and sixty-seven
Binary (base 2)10101011001110011
Octal (base 8)253163
Hexadecimal (base 16)15673
Base 311110020221
As time87667 seconds = 24 h 21 min 7 s

Is 87667 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 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 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 8)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 87667 a prime number?

No. 87667 = 29 × 3023, so it is divisible by 29.

What are the factors of 87667?

1, 29, 3023, 87667.

What is 87667 in binary?

10101011001110011 (hexadecimal 15673, octal 253163).

What is the square root of 87667?

About 296.0861.

Is 87667 divisible by 3?

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

What is special about the number 87667?

87667 is a semiprime: 29 × 3023, the product of two primes.

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    87667: is it prime? Factors, square root, binary, Roman numeral | WordGPT