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The number 61589

61589 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 509. Divisors (6): 1, 11, 121, 509, 5599, 61589.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    61589 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

    61589 is composite. Its prime factorisation is

    61589=112Ɨ50961589 = 11^{2} \times 509
  3. 3

    The divisors add up to 67830; without 61589 itself that is 6241, so 61589 is deficient (6241 is less than 61589). Euler's totient φ(61589) = 55880 numbers up to 61589 share no factor with it.

  4. 4

    The digits of 61589 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61589 = 11^{2} \times 509 \]

61589 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors67830
Euler totient φ(n)55880
Square3793204921
Cube233619697879469
Square root248.171312 (= 11√509)
Digit sum / digital root29 / 2
Collatz steps to 1135
Scientific notation6.1589 Ɨ 10410^{4}

61589 in other forms

FormValue
In wordssixty-one thousand five hundred and eighty-nine
Binary (base 2)1111000010010101
Octal (base 8)170225
Hexadecimal (base 16)F095
Base 310010111002
As time61589 seconds = 17 h 6 min 29 s

Is 61589 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 4)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 3)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 5)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 9)A number is divisible by 10 if the last digit is 0.
11Yes (61589 Ć· 11 = 5599)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 61589 a prime number?

No. 61589 = 11211^{2} Ɨ 509, so it is divisible by 11.

What are the factors of 61589?

1, 11, 121, 509, 5599, 61589.

What is 61589 in binary?

1111000010010101 (hexadecimal F095, octal 170225).

What is the square root of 61589?

About 248.1713, exactly 11√509.

Is 61589 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 61589?

It is a composite number with 6 divisors.

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