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The number 38413

38413 is a composite number with 4 divisors. Its prime factorisation is 107 × 359. Divisors (4): 1, 107, 359, 38413.

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How to work it out

  1. 1

    What is special about 38413: a semiprime: 107 × 359, the product of two primes.

  2. 2

    38413 is composite. Its prime factorisation is

    38413=107×35938413 = 107 \times 359
  3. 3

    The divisors add up to 38880; without 38413 itself that is 467, so 38413 is deficient (467 is less than 38413). Euler's totient φ(38413) = 37948 numbers up to 38413 share no factor with it.

  4. 4

    The digits of 38413 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 124 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38413 = 107 \times 359 \]

38413 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors38880
Euler totient φ(n)37948
Square1475558569
Cube56680631310997
Square root195.992347
Digit sum / digital root19 / 1
Collatz steps to 1124
Scientific notation3.8413 × 10410^{4}

38413 in other forms

FormValue
In wordsthirty-eight thousand four hundred and thirteen
Binary (base 2)1001011000001101
Octal (base 8)113015
Hexadecimal (base 16)960D
Base 31221200201
As time38413 seconds = 10 h 40 min 13 s

Is 38413 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 3)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 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 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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 38413 a prime number?

No. 38413 = 107 × 359, so it is divisible by 107.

What are the factors of 38413?

1, 107, 359, 38413.

What is 38413 in binary?

1001011000001101 (hexadecimal 960D, octal 113015).

What is the square root of 38413?

About 195.9923.

Is 38413 divisible by 3?

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

What is special about the number 38413?

38413 is a semiprime: 107 × 359, the product of two primes.

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