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The number 67769

67769 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 401. Divisors (6): 1, 13, 169, 401, 5213, 67769.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    67769 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

    67769 is composite. Its prime factorisation is

    67769=132Ɨ40167769 = 13^{2} \times 401
  3. 3

    The divisors add up to 73566; without 67769 itself that is 5797, so 67769 is deficient (5797 is less than 67769). Euler's totient φ(67769) = 62400 numbers up to 67769 share no factor with it.

  4. 4

    The digits of 67769 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67769 = 13^{2} \times 401 \]

67769 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors73566
Euler totient φ(n)62400
Square4592637361
Cube311238441317609
Square root260.324797 (= 13√401)
Digit sum / digital root35 / 8
Collatz steps to 1112
Scientific notation6.7769 Ɨ 10410^{4}

67769 in other forms

FormValue
In wordssixty-seven thousand seven hundred and sixty-nine
Binary (base 2)10000100010111001
Octal (base 8)204271
Hexadecimal (base 16)108B9
Base 310102221222
As time67769 seconds = 18 h 49 min 29 s

Is 67769 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 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 1)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 67769 a prime number?

No. 67769 = 13213^{2} Ɨ 401, so it is divisible by 13.

What are the factors of 67769?

1, 13, 169, 401, 5213, 67769.

What is 67769 in binary?

10000100010111001 (hexadecimal 108B9, octal 204271).

What is the square root of 67769?

About 260.3248, exactly 13√401.

Is 67769 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 67769?

It is a composite number with 6 divisors.

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    67769: is it prime? Factors, square root, binary, Roman numeral | WordGPT