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The number 39401

39401 is a composite number with 6 divisors. Its prime factorisation is 31231^{2} Ɨ 41. Divisors (6): 1, 31, 41, 961, 1271, 39401.

Number

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How to work it out

  1. 1

    39401 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

    39401 is composite. Its prime factorisation is

    39401=312Ɨ4139401 = 31^{2} \times 41
  3. 3

    The divisors add up to 41706; without 39401 itself that is 2305, so 39401 is deficient (2305 is less than 39401). Euler's totient φ(39401) = 37200 numbers up to 39401 share no factor with it.

  4. 4

    The digits of 39401 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39401 = 31^{2} \times 41 \]

39401 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors41706
Euler totient φ(n)37200
Square1552438801
Cube61167641198201
Square root198.496851 (= 31√41)
Digit sum / digital root17 / 8
Collatz steps to 1124
Scientific notation3.9401 Ɨ 10410^{4}

39401 in other forms

FormValue
In wordsthirty-nine thousand four hundred and one
Binary (base 2)1001100111101001
Octal (base 8)114751
Hexadecimal (base 16)99E9
Base 32000001022
As time39401 seconds = 10 h 56 min 41 s

Is 39401 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 5)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 8)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 10)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 39401 a prime number?

No. 39401 = 31231^{2} Ɨ 41, so it is divisible by 31.

What are the factors of 39401?

1, 31, 41, 961, 1271, 39401.

What is 39401 in binary?

1001100111101001 (hexadecimal 99E9, octal 114751).

What is the square root of 39401?

About 198.4969, exactly 31√41.

Is 39401 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 39401?

It is a composite number with 6 divisors.

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    39401: is it prime? Factors, square root, binary, Roman numeral | WordGPT