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The number 40181

40181 is a composite number with 4 divisors. Its prime factorisation is 23 × 1747. Divisors (4): 1, 23, 1747, 40181.

Number

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How to work it out

  1. 1

    What is special about 40181: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1747, the product of two primes.

  2. 2

    40181 is composite. Its prime factorisation is

    40181=23×174740181 = 23 \times 1747
  3. 3

    The divisors add up to 41952; without 40181 itself that is 1771, so 40181 is deficient (1771 is less than 40181). Euler's totient φ(40181) = 38412 numbers up to 40181 share no factor with it.

  4. 4

    The digits of 40181 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40181 = 23 \times 1747 \]

40181 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41952
Euler totient φ(n)38412
Square1614512761
Cube64872737249741
Square root200.451989
Digit sum / digital root14 / 5
Collatz steps to 193
Scientific notation4.0181 × 10410^{4}

40181 in other forms

FormValue
In wordsforty thousand one hundred and eighty-one
Binary (base 2)1001110011110101
Octal (base 8)116365
Hexadecimal (base 16)9CF5
Base 32001010012
As time40181 seconds = 11 h 9 min 41 s

Is 40181 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 1)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 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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 40181 a prime number?

No. 40181 = 23 × 1747, so it is divisible by 23.

What are the factors of 40181?

1, 23, 1747, 40181.

What is 40181 in binary?

1001110011110101 (hexadecimal 9CF5, octal 116365).

What is the square root of 40181?

About 200.4520.

Is 40181 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 40181?

40181 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1747, the product of two primes.

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