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The number 53767

53767 is a composite number with 4 divisors. Its prime factorisation is 7 × 7681. Divisors (4): 1, 7, 7681, 53767.

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How to work it out

  1. 1

    What is special about 53767: a semiprime: 7 × 7681, the product of two primes.

  2. 2

    53767 is composite. Its prime factorisation is

    53767=7×768153767 = 7 \times 7681
  3. 3

    The divisors add up to 61456; without 53767 itself that is 7689, so 53767 is deficient (7689 is less than 53767). Euler's totient φ(53767) = 46080 numbers up to 53767 share no factor with it.

  4. 4

    The digits of 53767 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53767 = 7 \times 7681 \]

53767 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors61456
Euler totient φ(n)46080
Square2890890289
Cube155434498168663
Square root231.877123
Digit sum / digital root28 / 1
Collatz steps to 1140
Scientific notation5.3767 × 10410^{4}

53767 in other forms

FormValue
In wordsfifty-three thousand seven hundred and sixty-seven
Binary (base 2)1101001000000111
Octal (base 8)151007
Hexadecimal (base 16)D207
Base 32201202101
As time53767 seconds = 14 h 56 min 7 s

Is 53767 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.
7Yes (53767 ÷ 7 = 7681)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 10)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 53767 a prime number?

No. 53767 = 7 × 7681, so it is divisible by 7.

What are the factors of 53767?

1, 7, 7681, 53767.

What is 53767 in binary?

1101001000000111 (hexadecimal D207, octal 151007).

What is the square root of 53767?

About 231.8771.

Is 53767 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 53767?

53767 is a semiprime: 7 × 7681, the product of two primes.

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