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The number 15388

15388 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 3847. Divisors (6): 1, 2, 4, 3847, 7694, 15388.

Number

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How to work it out

  1. 1

    15388 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

    15388 is composite. Its prime factorisation is

    15388=22×384715388 = 2^{2} \times 3847
  3. 3

    The divisors add up to 26936; without 15388 itself that is 11548, so 15388 is deficient (11548 is less than 15388). Euler's totient φ(15388) = 7692 numbers up to 15388 share no factor with it.

  4. 4

    The digits of 15388 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 146 steps to reach 1.

LaTeX source of the formulas on this page
\[ 15388 = 2^{2} \times 3847 \]

15388 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors26936
Euler totient φ(n)7692
Square236790544
Cube3643732891072
Square root124.048378 (= 2√3847)
Digit sum / digital root25 / 7
Collatz steps to 1146
Scientific notation1.5388 × 10410^{4}

15388 in other forms

FormValue
In wordsfifteen thousand three hundred and eighty-eight
Binary (base 2)11110000011100
Octal (base 8)36034
Hexadecimal (base 16)3C1C
Base 3210002221
As time15388 seconds = 4 h 16 min 28 s

Is 15388 divisible by 2 to 12?

DivisorAnswerRule
2Yes (15388 ÷ 2 = 7694)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.
4Yes (15388 ÷ 4 = 3847)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 15388 a prime number?

No. 15388 = 222^{2} × 3847, so it is divisible by 2.

What are the factors of 15388?

1, 2, 4, 3847, 7694, 15388.

What is 15388 in binary?

11110000011100 (hexadecimal 3C1C, octal 36034).

What is the square root of 15388?

About 124.0484, exactly 2√3847.

Is 15388 divisible by 3?

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

What is special about the number 15388?

It is a composite number with 6 divisors.

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    15388: is it prime? Factors, square root, binary, Roman numeral | WordGPT