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The number 51989

51989 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1061. Divisors (6): 1, 7, 49, 1061, 7427, 51989.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    51989 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

    51989 is composite. Its prime factorisation is

    51989=72Ɨ106151989 = 7^{2} \times 1061
  3. 3

    The divisors add up to 60534; without 51989 itself that is 8545, so 51989 is deficient (8545 is less than 51989). Euler's totient φ(51989) = 44520 numbers up to 51989 share no factor with it.

  4. 4

    The digits of 51989 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 51989 = 7^{2} \times 1061 \]

51989 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors60534
Euler totient φ(n)44520
Square2702856121
Cube140518786874669
Square root228.010965 (= 7√1061)
Digit sum / digital root32 / 5
Collatz steps to 1140
Scientific notation5.1989 Ɨ 10410^{4}

51989 in other forms

FormValue
In wordsfifty-one thousand nine hundred and eighty-nine
Binary (base 2)1100101100010101
Octal (base 8)145425
Hexadecimal (base 16)CB15
Base 32122022112
As time51989 seconds = 14 h 26 min 29 s

Is 51989 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.
7Yes (51989 Ć· 7 = 7427)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 5)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.
11No (remainder 3)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 51989 a prime number?

No. 51989 = 727^{2} Ɨ 1061, so it is divisible by 7.

What are the factors of 51989?

1, 7, 49, 1061, 7427, 51989.

What is 51989 in binary?

1100101100010101 (hexadecimal CB15, octal 145425).

What is the square root of 51989?

About 228.0110, exactly 7√1061.

Is 51989 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 51989?

It is a composite number with 6 divisors.

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    51989: is it prime? Factors, square root, binary, Roman numeral | WordGPT