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The number 10381

10381 is a composite number with 4 divisors. Its prime factorisation is 7 × 1483. Divisors (4): 1, 7, 1483, 10381.

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How to work it out

  1. 1

    What is special about 10381: a semiprime: 7 × 1483, the product of two primes.

  2. 2

    10381 is composite. Its prime factorisation is

    10381=7×148310381 = 7 \times 1483
  3. 3

    The divisors add up to 11872; without 10381 itself that is 1491, so 10381 is deficient (1491 is less than 10381). Euler's totient φ(10381) = 8892 numbers up to 10381 share no factor with it.

  4. 4

    The digits of 10381 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10381 = 7 \times 1483 \]

10381 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors11872
Euler totient φ(n)8892
Square107765161
Cube1118710136341
Square root101.887193
Digit sum / digital root13 / 4
Collatz steps to 1104
Scientific notation1.0381 × 10410^{4}

10381 in other forms

FormValue
In wordsten thousand three hundred and eighty-one
Binary (base 2)10100010001101
Octal (base 8)24215
Hexadecimal (base 16)288D
Base 3112020111
As time10381 seconds = 2 h 53 min 1 s

Is 10381 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.
7Yes (10381 ÷ 7 = 1483)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 4)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 8)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 10381 a prime number?

No. 10381 = 7 × 1483, so it is divisible by 7.

What are the factors of 10381?

1, 7, 1483, 10381.

What is 10381 in binary?

10100010001101 (hexadecimal 288D, octal 24215).

What is the square root of 10381?

About 101.8872.

Is 10381 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 10381?

10381 is a semiprime: 7 × 1483, the product of two primes.

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