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The number 34481

34481 is a composite number with 6 divisors. Its prime factorisation is 29229^{2} Ɨ 41. Divisors (6): 1, 29, 41, 841, 1189, 34481.

Number

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How to work it out

  1. 1

    34481 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

    34481 is composite. Its prime factorisation is

    34481=292Ɨ4134481 = 29^{2} \times 41
  3. 3

    The divisors add up to 36582; without 34481 itself that is 2101, so 34481 is deficient (2101 is less than 34481). Euler's totient φ(34481) = 32480 numbers up to 34481 share no factor with it.

  4. 4

    The digits of 34481 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.

LaTeX source of the formulas on this page
\[ 34481 = 29^{2} \times 41 \]

34481 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors36582
Euler totient φ(n)32480
Square1188939361
Cube40995818106641
Square root185.690603 (= 29√41)
Digit sum / digital root20 / 2
Collatz steps to 128
Scientific notation3.4481 Ɨ 10410^{4}

34481 in other forms

FormValue
In wordsthirty-four thousand four hundred and eighty-one
Binary (base 2)1000011010110001
Octal (base 8)103261
Hexadecimal (base 16)86B1
Base 31202022002
As time34481 seconds = 9 h 34 min 41 s

Is 34481 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 6)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 2)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 34481 a prime number?

No. 34481 = 29229^{2} Ɨ 41, so it is divisible by 29.

What are the factors of 34481?

1, 29, 41, 841, 1189, 34481.

What is 34481 in binary?

1000011010110001 (hexadecimal 86B1, octal 103261).

What is the square root of 34481?

About 185.6906, exactly 29√41.

Is 34481 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 34481?

It is a composite number with 6 divisors.

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    34481: is it prime? Factors, square root, binary, Roman numeral | WordGPT