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The number 5267

5267 is a composite number with 4 divisors. Its prime factorisation is 23 × 229. Divisors (4): 1, 23, 229, 5267.

Number

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How to work it out

  1. 1

    What is special about 5267: a semiprime: 23 × 229, the product of two primes.

  2. 2

    5267 is composite. Its prime factorisation is

    5267=23×2295267 = 23 \times 229
  3. 3

    The divisors add up to 5520; without 5267 itself that is 253, so 5267 is deficient (253 is less than 5267). Euler's totient φ(5267) = 5016 numbers up to 5267 share no factor with it.

  4. 4

    The digits of 5267 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5267 = 23 \times 229 \]

5267 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5520
Euler totient φ(n)5016
Square27741289
Cube146113369163
Square root72.574100
Digit sum / digital root20 / 2
Collatz steps to 141
Scientific notation5.267 × 10310^{3}

5267 in other forms

FormValue
In wordsfive thousand two hundred and sixty-seven
Binary (base 2)1010010010011
Octal (base 8)12223
Hexadecimal (base 16)1493
Base 321020002
As time5267 seconds = 1 h 27 min 47 s

Is 5267 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 2)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5267 a prime number?

No. 5267 = 23 × 229, so it is divisible by 23.

What are the factors of 5267?

1, 23, 229, 5267.

What is 5267 in binary?

1010010010011 (hexadecimal 1493, octal 12223).

What is the square root of 5267?

About 72.5741.

Is 5267 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 5267?

5267 is a semiprime: 23 × 229, the product of two primes.

All about 5267

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