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The number 46138

46138 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 23 × 59. Divisors (16): 1, 2, 17, 23, 34, 46, 59, 118, 391, 782, 1003, 1357, 2006, 2714, 23069, 46138.

Number

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How to work it out

  1. 1

    46138 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

    46138 is composite. Its prime factorisation is

    46138=2×17×23×5946138 = 2 \times 17 \times 23 \times 59
  3. 3

    The divisors add up to 77760; without 46138 itself that is 31622, so 46138 is deficient (31622 is less than 46138). Euler's totient φ(46138) = 20416 numbers up to 46138 share no factor with it.

  4. 4

    The digits of 46138 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 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46138 = 2 \times 17 \times 23 \times 59 \]

46138 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors77760
Euler totient φ(n)20416
Square2128715044
Cube98214654700072
Square root214.797579
Digit sum / digital root22 / 4
Collatz steps to 157
Scientific notation4.6138 × 10410^{4}

46138 in other forms

FormValue
In wordsforty-six thousand one hundred and thirty-eight
Binary (base 2)1011010000111010
Octal (base 8)132072
Hexadecimal (base 16)B43A
Base 32100021211
As time46138 seconds = 12 h 48 min 58 s

Is 46138 divisible by 2 to 12?

DivisorAnswerRule
2Yes (46138 ÷ 2 = 23069)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 2)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 2)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 8)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46138 a prime number?

No. 46138 = 2 × 17 × 23 × 59, so it is divisible by 2.

What are the factors of 46138?

1, 2, 17, 23, 34, 46, 59, 118, 391, 782, 1003, 1357, 2006, 2714, 23069, 46138.

What is 46138 in binary?

1011010000111010 (hexadecimal B43A, octal 132072).

What is the square root of 46138?

About 214.7976.

Is 46138 divisible by 3?

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

What is special about the number 46138?

It is a composite number with 16 divisors.

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    46138: is it prime? Factors, square root, binary, Roman numeral | WordGPT