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The number 82441

82441 is a composite number with 4 divisors. Its prime factorisation is 19 × 4339. Divisors (4): 1, 19, 4339, 82441.

Number

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How to work it out

  1. 1

    What is special about 82441: a Harshad number: divisible by its digit sum 19; a semiprime: 19 × 4339, the product of two primes.

  2. 2

    82441 is composite. Its prime factorisation is

    82441=19×433982441 = 19 \times 4339
  3. 3

    The divisors add up to 86800; without 82441 itself that is 4359, so 82441 is deficient (4359 is less than 82441). Euler's totient φ(82441) = 78084 numbers up to 82441 share no factor with it.

  4. 4

    The digits of 82441 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82441 = 19 \times 4339 \]

82441 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors86800
Euler totient φ(n)78084
Square6796518481
Cube560311780092121
Square root287.125408
Digit sum / digital root19 / 1
Collatz steps to 1195
Scientific notation8.2441 × 10410^{4}

82441 in other forms

FormValue
In wordseighty-two thousand four hundred and forty-one
Binary (base 2)10100001000001001
Octal (base 8)241011
Hexadecimal (base 16)14209
Base 311012002101
As time82441 seconds = 22 h 54 min 1 s

Is 82441 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 1)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82441 a prime number?

No. 82441 = 19 × 4339, so it is divisible by 19.

What are the factors of 82441?

1, 19, 4339, 82441.

What is 82441 in binary?

10100001000001001 (hexadecimal 14209, octal 241011).

What is the square root of 82441?

About 287.1254.

Is 82441 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 82441?

82441 is a Harshad number: divisible by its digit sum 19; a semiprime: 19 × 4339, the product of two primes.

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