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The number 2379

2379 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 61. Divisors (8): 1, 3, 13, 39, 61, 183, 793, 2379.

Number

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How to work it out

  1. 1

    2379 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    2379 is composite. Its prime factorisation is

    2379=3×13×612379 = 3 \times 13 \times 61
  3. 3

    The divisors add up to 3472; without 2379 itself that is 1093, so 2379 is deficient (1093 is less than 2379). Euler's totient φ(2379) = 1440 numbers up to 2379 share no factor with it.

  4. 4

    The digits of 2379 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 2379 = 3 \times 13 \times 61 \]

2379 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors3472
Euler totient φ(n)1440
Square5659641
Cube13464285939
Square root48.774994
Digit sum / digital root21 / 3
Collatz steps to 176
Scientific notation2.379 × 10310^{3}

2379 in other forms

FormValue
In wordstwo thousand three hundred and seventy-nine
Roman numeralsMMCCCLXXIX
Binary (base 2)100101001011
Octal (base 8)4513
Hexadecimal (base 16)94B
Base 310021010
As time2379 seconds = 39 min 39 s

Is 2379 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).
3Yes (2379 ÷ 3 = 793)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 3)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 2379 a prime number?

No. 2379 = 3 × 13 × 61, so it is divisible by 3.

What are the factors of 2379?

1, 3, 13, 39, 61, 183, 793, 2379.

What is 2379 in binary?

100101001011 (hexadecimal 94B, octal 4513).

What is the square root of 2379?

About 48.7750.

What is 2379 in Roman numerals?

MMCCCLXXIX.

Is 2379 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 2379?

It is a composite number with 8 divisors.

All about 2379

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    2379: is it prime? Factors, square root, binary, Roman numeral | WordGPT