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The number 15087

15087 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 107. Divisors (8): 1, 3, 47, 107, 141, 321, 5029, 15087.

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How to work it out

  1. 1

    What is special about 15087: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    15087 is composite. Its prime factorisation is

    15087=3×47×10715087 = 3 \times 47 \times 107
  3. 3

    The divisors add up to 20736; without 15087 itself that is 5649, so 15087 is deficient (5649 is less than 15087). Euler's totient φ(15087) = 9752 numbers up to 15087 share no factor with it.

  4. 4

    The digits of 15087 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 208 steps to reach 1.

LaTeX source of the formulas on this page
\[ 15087 = 3 \times 47 \times 107 \]

15087 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors20736
Euler totient φ(n)9752
Square227617569
Cube3434066263503
Square root122.829150
Digit sum / digital root21 / 3
Collatz steps to 1208
Scientific notation1.5087 × 10410^{4}

15087 in other forms

FormValue
In wordsfifteen thousand and eighty-seven
Binary (base 2)11101011101111
Octal (base 8)35357
Hexadecimal (base 16)3AEF
Base 3202200210
As time15087 seconds = 4 h 11 min 27 s

Is 15087 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 (15087 ÷ 3 = 5029)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 2)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 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 7)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 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 15087 a prime number?

No. 15087 = 3 × 47 × 107, so it is divisible by 3.

What are the factors of 15087?

1, 3, 47, 107, 141, 321, 5029, 15087.

What is 15087 in binary?

11101011101111 (hexadecimal 3AEF, octal 35357).

What is the square root of 15087?

About 122.8291.

Is 15087 divisible by 3?

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

What is special about the number 15087?

15087 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    15087: is it prime? Factors, square root, binary, Roman numeral | WordGPT