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The number 61017

61017 is a composite number with 12 divisors. Its prime factorisation is 3 × 11 × 43243^{2}. Divisors (12): 1, 3, 11, 33, 43, 129, 473, 1419, 1849, 5547, 20339, 61017.

Number

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How to work it out

  1. 1

    61017 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

    61017 is composite. Its prime factorisation is

    61017=3×11×43261017 = 3 \times 11 \times 43^{2}
  3. 3

    The divisors add up to 90864; without 61017 itself that is 29847, so 61017 is deficient (29847 is less than 61017). Euler's totient φ(61017) = 36120 numbers up to 61017 share no factor with it.

  4. 4

    The digits of 61017 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61017 = 3 \times 11 \times 43^{2} \]

61017 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors90864
Euler totient φ(n)36120
Square3723074289
Cube227170823891913
Square root247.016194 (= 43√33)
Digit sum / digital root15 / 6
Collatz steps to 1179
Scientific notation6.1017 × 10410^{4}

61017 in other forms

FormValue
In wordssixty-one thousand and seventeen
Binary (base 2)1110111001011001
Octal (base 8)167131
Hexadecimal (base 16)EE59
Base 310002200220
As time61017 seconds = 16 h 56 min 57 s

Is 61017 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 (61017 ÷ 3 = 20339)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 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 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 6)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.
11Yes (61017 ÷ 11 = 5547)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61017 a prime number?

No. 61017 = 3 × 11 × 43243^{2}, so it is divisible by 3.

What are the factors of 61017?

1, 3, 11, 33, 43, 129, 473, 1419, 1849, 5547, 20339, 61017.

What is 61017 in binary?

1110111001011001 (hexadecimal EE59, octal 167131).

What is the square root of 61017?

About 247.0162, exactly 43√33.

Is 61017 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 61017?

It is a composite number with 12 divisors.

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