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The number 38701

38701 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 229. Divisors (6): 1, 13, 169, 229, 2977, 38701.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    38701 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

    38701 is composite. Its prime factorisation is

    38701=132Ɨ22938701 = 13^{2} \times 229
  3. 3

    The divisors add up to 42090; without 38701 itself that is 3389, so 38701 is deficient (3389 is less than 38701). Euler's totient φ(38701) = 35568 numbers up to 38701 share no factor with it.

  4. 4

    The digits of 38701 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 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38701 = 13^{2} \times 229 \]

38701 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors42090
Euler totient φ(n)35568
Square1497767401
Cube57965096186101
Square root196.725697 (= 13√229)
Digit sum / digital root19 / 1
Collatz steps to 175
Scientific notation3.8701 Ɨ 10410^{4}

38701 in other forms

FormValue
In wordsthirty-eight thousand seven hundred and one
Binary (base 2)1001011100101101
Octal (base 8)113455
Hexadecimal (base 16)972D
Base 31222002101
As time38701 seconds = 10 h 45 min 1 s

Is 38701 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 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 5)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 3)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 38701 a prime number?

No. 38701 = 13213^{2} Ɨ 229, so it is divisible by 13.

What are the factors of 38701?

1, 13, 169, 229, 2977, 38701.

What is 38701 in binary?

1001011100101101 (hexadecimal 972D, octal 113455).

What is the square root of 38701?

About 196.7257, exactly 13√229.

Is 38701 divisible by 3?

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

What is special about the number 38701?

It is a composite number with 6 divisors.

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    38701: is it prime? Factors, square root, binary, Roman numeral | WordGPT