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The number 23482

23482 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 199. Divisors (8): 1, 2, 59, 118, 199, 398, 11741, 23482.

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How to work it out

  1. 1

    What is special about 23482: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    23482 is composite. Its prime factorisation is

    23482=2×59×19923482 = 2 \times 59 \times 199
  3. 3

    The divisors add up to 36000; without 23482 itself that is 12518, so 23482 is deficient (12518 is less than 23482). Euler's totient φ(23482) = 11484 numbers up to 23482 share no factor with it.

  4. 4

    The digits of 23482 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 144 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23482 = 2 \times 59 \times 199 \]

23482 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors36000
Euler totient φ(n)11484
Square551404324
Cube12948076336168
Square root153.238376
Digit sum / digital root19 / 1
Collatz steps to 1144
Scientific notation2.3482 × 10410^{4}

23482 in other forms

FormValue
In wordstwenty-three thousand four hundred and eighty-two
Binary (base 2)101101110111010
Octal (base 8)55672
Hexadecimal (base 16)5BBA
Base 31012012201
As time23482 seconds = 6 h 31 min 22 s

Is 23482 divisible by 2 to 12?

DivisorAnswerRule
2Yes (23482 ÷ 2 = 11741)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 2)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 4)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 23482 a prime number?

No. 23482 = 2 × 59 × 199, so it is divisible by 2.

What are the factors of 23482?

1, 2, 59, 118, 199, 398, 11741, 23482.

What is 23482 in binary?

101101110111010 (hexadecimal 5BBA, octal 55672).

What is the square root of 23482?

About 153.2384.

Is 23482 divisible by 3?

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

What is special about the number 23482?

23482 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    23482: is it prime? Factors, square root, binary, Roman numeral | WordGPT