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The number 87377

87377 is a composite number with 8 divisors. Its prime factorisation is 23 × 29 × 131. Divisors (8): 1, 23, 29, 131, 667, 3013, 3799, 87377.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    87377 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

    87377 is composite. Its prime factorisation is

    87377=23×29×13187377 = 23 \times 29 \times 131
  3. 3

    The divisors add up to 95040; without 87377 itself that is 7663, so 87377 is deficient (7663 is less than 87377). Euler's totient φ(87377) = 80080 numbers up to 87377 share no factor with it.

  4. 4

    The digits of 87377 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87377 = 23 \times 29 \times 131 \]

87377 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors95040
Euler totient φ(n)80080
Square7634740129
Cube667100688251633
Square root295.596008
Digit sum / digital root32 / 5
Collatz steps to 1164
Scientific notation8.7377 × 10410^{4}

87377 in other forms

FormValue
In wordseighty-seven thousand three hundred and seventy-seven
Binary (base 2)10101010101010001
Octal (base 8)252521
Hexadecimal (base 16)15551
Base 311102212012
As time87377 seconds = 24 h 16 min 17 s

Is 87377 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 2)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 5)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87377 a prime number?

No. 87377 = 23 × 29 × 131, so it is divisible by 23.

What are the factors of 87377?

1, 23, 29, 131, 667, 3013, 3799, 87377.

What is 87377 in binary?

10101010101010001 (hexadecimal 15551, octal 252521).

What is the square root of 87377?

About 295.5960.

Is 87377 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 87377?

It is a composite number with 8 divisors.

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    87377: is it prime? Factors, square root, binary, Roman numeral | WordGPT