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The number 7267

7267 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 43. Divisors (6): 1, 13, 43, 169, 559, 7267.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    7267 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

    7267 is composite. Its prime factorisation is

    7267=132Ɨ437267 = 13^{2} \times 43
  3. 3

    The divisors add up to 8052; without 7267 itself that is 785, so 7267 is deficient (785 is less than 7267). Euler's totient φ(7267) = 6552 numbers up to 7267 share no factor with it.

  4. 4

    The digits of 7267 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7267 = 13^{2} \times 43 \]

7267 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors8052
Euler totient φ(n)6552
Square52809289
Cube383765103163
Square root85.246701 (= 13√43)
Digit sum / digital root22 / 4
Collatz steps to 170
Scientific notation7.267 Ɨ 10310^{3}

7267 in other forms

FormValue
In wordsseven thousand two hundred and sixty-seven
Binary (base 2)1110001100011
Octal (base 8)16143
Hexadecimal (base 16)1C63
Base 3100222011
As time7267 seconds = 2 h 1 min 7 s

Is 7267 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 1)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7267 a prime number?

No. 7267 = 13213^{2} Ɨ 43, so it is divisible by 13.

What are the factors of 7267?

1, 13, 43, 169, 559, 7267.

What is 7267 in binary?

1110001100011 (hexadecimal 1C63, octal 16143).

What is the square root of 7267?

About 85.2467, exactly 13√43.

Is 7267 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 7267?

It is a composite number with 6 divisors.

All about 7267

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