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The number 15379

15379 is a composite number with 8 divisors. Its prime factorisation is 7 Ɨ 13313^{3}. Divisors (8): 1, 7, 13, 91, 169, 1183, 2197, 15379.

Number

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How to work it out

  1. 1

    15379 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

    15379 is composite. Its prime factorisation is

    15379=7Ɨ13315379 = 7 \times 13^{3}
  3. 3

    The divisors add up to 19040; without 15379 itself that is 3661, so 15379 is deficient (3661 is less than 15379). Euler's totient φ(15379) = 12168 numbers up to 15379 share no factor with it.

  4. 4

    The digits of 15379 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 15379 = 7 \times 13^{3} \]

15379 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors19040
Euler totient φ(n)12168
Square236513641
Cube3637343284939
Square root124.012096 (= 13√91)
Digit sum / digital root25 / 7
Collatz steps to 158
Scientific notation1.5379 Ɨ 10410^{4}

15379 in other forms

FormValue
In wordsfifteen thousand three hundred and seventy-nine
Binary (base 2)11110000010011
Octal (base 8)36023
Hexadecimal (base 16)3C13
Base 3210002121
As time15379 seconds = 4 h 16 min 19 s

Is 15379 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (15379 Ć· 7 = 2197)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 7)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 15379 a prime number?

No. 15379 = 7 Ɨ 13313^{3}, so it is divisible by 7.

What are the factors of 15379?

1, 7, 13, 91, 169, 1183, 2197, 15379.

What is 15379 in binary?

11110000010011 (hexadecimal 3C13, octal 36023).

What is the square root of 15379?

About 124.0121, exactly 13√91.

Is 15379 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 15379?

It is a composite number with 8 divisors.

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    15379: is it prime? Factors, square root, binary, Roman numeral | WordGPT