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The number 23381

23381 is a composite number with 4 divisors. Its prime factorisation is 103 × 227. Divisors (4): 1, 103, 227, 23381.

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How to work it out

  1. 1

    What is special about 23381: a semiprime: 103 × 227, the product of two primes.

  2. 2

    23381 is composite. Its prime factorisation is

    23381=103×22723381 = 103 \times 227
  3. 3

    The divisors add up to 23712; without 23381 itself that is 331, so 23381 is deficient (331 is less than 23381). Euler's totient φ(23381) = 23052 numbers up to 23381 share no factor with it.

  4. 4

    The digits of 23381 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 100 steps to reach 1.

LaTeX source of the formulas on this page
\[ 23381 = 103 \times 227 \]

23381 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors23712
Euler totient φ(n)23052
Square546671161
Cube12781718415341
Square root152.908469
Digit sum / digital root17 / 8
Collatz steps to 1100
Scientific notation2.3381 × 10410^{4}

23381 in other forms

FormValue
In wordstwenty-three thousand three hundred and eighty-one
Binary (base 2)101101101010101
Octal (base 8)55525
Hexadecimal (base 16)5B55
Base 31012001222
As time23381 seconds = 6 h 29 min 41 s

Is 23381 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 1)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 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 6)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 23381 a prime number?

No. 23381 = 103 × 227, so it is divisible by 103.

What are the factors of 23381?

1, 103, 227, 23381.

What is 23381 in binary?

101101101010101 (hexadecimal 5B55, octal 55525).

What is the square root of 23381?

About 152.9085.

Is 23381 divisible by 3?

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

What is special about the number 23381?

23381 is a semiprime: 103 × 227, the product of two primes.

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