WordGPT

The number 10379

10379 is a composite number with 4 divisors. Its prime factorisation is 97 × 107. Divisors (4): 1, 97, 107, 10379.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 10379: a semiprime: 97 × 107, the product of two primes.

  2. 2

    10379 is composite. Its prime factorisation is

    10379=97×10710379 = 97 \times 107
  3. 3

    The divisors add up to 10584; without 10379 itself that is 205, so 10379 is deficient (205 is less than 10379). Euler's totient φ(10379) = 10176 numbers up to 10379 share no factor with it.

  4. 4

    The digits of 10379 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 223 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10379 = 97 \times 107 \]

10379 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors10584
Euler totient φ(n)10176
Square107723641
Cube1118063669939
Square root101.877377
Digit sum / digital root20 / 2
Collatz steps to 1223
Scientific notation1.0379 × 10410^{4}

10379 in other forms

FormValue
In wordsten thousand three hundred and seventy-nine
Binary (base 2)10100010001011
Octal (base 8)24213
Hexadecimal (base 16)288B
Base 3112020102
As time10379 seconds = 2 h 52 min 59 s

Is 10379 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 4)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 10379 a prime number?

No. 10379 = 97 × 107, so it is divisible by 97.

What are the factors of 10379?

1, 97, 107, 10379.

What is 10379 in binary?

10100010001011 (hexadecimal 288B, octal 24213).

What is the square root of 10379?

About 101.8774.

Is 10379 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 10379?

10379 is a semiprime: 97 × 107, the product of two primes.

Find the next one

Nearby numbers

    10379: is it prime? Factors, square root, binary, Roman numeral | WordGPT