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The number 42376

42376 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 5297. Divisors (8): 1, 2, 4, 8, 5297, 10594, 21188, 42376.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    42376 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

    42376 is composite. Its prime factorisation is

    42376=23×529742376 = 2^{3} \times 5297
  3. 3

    The divisors add up to 79470; without 42376 itself that is 37094, so 42376 is deficient (37094 is less than 42376). Euler's totient φ(42376) = 21184 numbers up to 42376 share no factor with it.

  4. 4

    The digits of 42376 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42376 = 2^{3} \times 5297 \]

42376 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors79470
Euler totient φ(n)21184
Square1795725376
Cube76095658533376
Square root205.854317 (= 2√10594)
Digit sum / digital root22 / 4
Collatz steps to 1101
Scientific notation4.2376 × 10410^{4}

42376 in other forms

FormValue
In wordsforty-two thousand three hundred and seventy-six
Binary (base 2)1010010110001000
Octal (base 8)122610
Hexadecimal (base 16)A588
Base 32011010111
As time42376 seconds = 11 h 46 min 16 s

Is 42376 divisible by 2 to 12?

DivisorAnswerRule
2Yes (42376 ÷ 2 = 21188)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.
4Yes (42376 ÷ 4 = 10594)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (42376 ÷ 8 = 5297)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42376 a prime number?

No. 42376 = 232^{3} × 5297, so it is divisible by 2.

What are the factors of 42376?

1, 2, 4, 8, 5297, 10594, 21188, 42376.

What is 42376 in binary?

1010010110001000 (hexadecimal A588, octal 122610).

What is the square root of 42376?

About 205.8543, exactly 2√10594.

Is 42376 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 42376?

It is a composite number with 8 divisors.

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    42376: is it prime? Factors, square root, binary, Roman numeral | WordGPT