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The number 15041

15041 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 89. Divisors (6): 1, 13, 89, 169, 1157, 15041.

Number

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How to work it out

  1. 1

    15041 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

    15041 is composite. Its prime factorisation is

    15041=132Ɨ8915041 = 13^{2} \times 89
  3. 3

    The divisors add up to 16470; without 15041 itself that is 1429, so 15041 is deficient (1429 is less than 15041). Euler's totient φ(15041) = 13728 numbers up to 15041 share no factor with it.

  4. 4

    The digits of 15041 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 15041 = 13^{2} \times 89 \]

15041 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors16470
Euler totient φ(n)13728
Square226231681
Cube3402750713921
Square root122.641755 (= 13√89)
Digit sum / digital root11 / 2
Collatz steps to 189
Scientific notation1.5041 Ɨ 10410^{4}

15041 in other forms

FormValue
In wordsfifteen thousand and forty-one
Binary (base 2)11101011000001
Octal (base 8)35301
Hexadecimal (base 16)3AC1
Base 3202122002
As time15041 seconds = 4 h 10 min 41 s

Is 15041 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 15041 a prime number?

No. 15041 = 13213^{2} Ɨ 89, so it is divisible by 13.

What are the factors of 15041?

1, 13, 89, 169, 1157, 15041.

What is 15041 in binary?

11101011000001 (hexadecimal 3AC1, octal 35301).

What is the square root of 15041?

About 122.6418, exactly 13√89.

Is 15041 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 15041?

It is a composite number with 6 divisors.

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    15041: is it prime? Factors, square root, binary, Roman numeral | WordGPT