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The number 38267

38267 is a composite number with 4 divisors. Its prime factorisation is 17 × 2251. Divisors (4): 1, 17, 2251, 38267.

Number

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How to work it out

  1. 1

    What is special about 38267: a semiprime: 17 × 2251, the product of two primes.

  2. 2

    38267 is composite. Its prime factorisation is

    38267=17×225138267 = 17 \times 2251
  3. 3

    The divisors add up to 40536; without 38267 itself that is 2269, so 38267 is deficient (2269 is less than 38267). Euler's totient φ(38267) = 36000 numbers up to 38267 share no factor with it.

  4. 4

    The digits of 38267 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38267 = 17 \times 2251 \]

38267 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors40536
Euler totient φ(n)36000
Square1464363289
Cube56036789980163
Square root195.619529
Digit sum / digital root26 / 8
Collatz steps to 1111
Scientific notation3.8267 × 10410^{4}

38267 in other forms

FormValue
In wordsthirty-eight thousand two hundred and sixty-seven
Binary (base 2)1001010101111011
Octal (base 8)112573
Hexadecimal (base 16)957B
Base 31221111022
As time38267 seconds = 10 h 37 min 47 s

Is 38267 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 3)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 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 3)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38267 a prime number?

No. 38267 = 17 × 2251, so it is divisible by 17.

What are the factors of 38267?

1, 17, 2251, 38267.

What is 38267 in binary?

1001010101111011 (hexadecimal 957B, octal 112573).

What is the square root of 38267?

About 195.6195.

Is 38267 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 38267?

38267 is a semiprime: 17 × 2251, the product of two primes.

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    38267: is it prime? Factors, square root, binary, Roman numeral | WordGPT