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The number 67093

67093 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 397. Divisors (6): 1, 13, 169, 397, 5161, 67093.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    67093 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

    67093 is composite. Its prime factorisation is

    67093=132Ɨ39767093 = 13^{2} \times 397
  3. 3

    The divisors add up to 72834; without 67093 itself that is 5741, so 67093 is deficient (5741 is less than 67093). Euler's totient φ(67093) = 61776 numbers up to 67093 share no factor with it.

  4. 4

    The digits of 67093 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67093 = 13^{2} \times 397 \]

67093 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors72834
Euler totient φ(n)61776
Square4501470649
Cube302017170253357
Square root259.023165 (= 13√397)
Digit sum / digital root25 / 7
Collatz steps to 168
Scientific notation6.7093 Ɨ 10410^{4}

67093 in other forms

FormValue
In wordssixty-seven thousand and ninety-three
Binary (base 2)10000011000010101
Octal (base 8)203025
Hexadecimal (base 16)10615
Base 310102000221
As time67093 seconds = 18 h 38 min 13 s

Is 67093 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 1)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67093 a prime number?

No. 67093 = 13213^{2} Ɨ 397, so it is divisible by 13.

What are the factors of 67093?

1, 13, 169, 397, 5161, 67093.

What is 67093 in binary?

10000011000010101 (hexadecimal 10615, octal 203025).

What is the square root of 67093?

About 259.0232, exactly 13√397.

Is 67093 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 67093?

It is a composite number with 6 divisors.

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    67093: is it prime? Factors, square root, binary, Roman numeral | WordGPT