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The number 65501

65501 is a composite number with 4 divisors. Its prime factorisation is 17 × 3853. Divisors (4): 1, 17, 3853, 65501.

Number

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How to work it out

  1. 1

    What is special about 65501: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 3853, the product of two primes.

  2. 2

    65501 is composite. Its prime factorisation is

    65501=17×385365501 = 17 \times 3853
  3. 3

    The divisors add up to 69372; without 65501 itself that is 3871, so 65501 is deficient (3871 is less than 65501). Euler's totient φ(65501) = 61632 numbers up to 65501 share no factor with it.

  4. 4

    The digits of 65501 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 65501 = 17 \times 3853 \]

65501 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors69372
Euler totient φ(n)61632
Square4290381001
Cube281024245946501
Square root255.931631
Digit sum / digital root17 / 8
Collatz steps to 1130
Scientific notation6.5501 × 10410^{4}

65501 in other forms

FormValue
In wordssixty-five thousand five hundred and one
Binary (base 2)1111111111011101
Octal (base 8)177735
Hexadecimal (base 16)FFDD
Base 310022211222
As time65501 seconds = 18 h 11 min 41 s

Is 65501 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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 7)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 65501 a prime number?

No. 65501 = 17 × 3853, so it is divisible by 17.

What are the factors of 65501?

1, 17, 3853, 65501.

What is 65501 in binary?

1111111111011101 (hexadecimal FFDD, octal 177735).

What is the square root of 65501?

About 255.9316.

Is 65501 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 65501?

65501 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 3853, the product of two primes.

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