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The number 10555

10555 is a composite number with 4 divisors. Its prime factorisation is 5 × 2111. Divisors (4): 1, 5, 2111, 10555.

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How to work it out

  1. 1

    What is special about 10555: a semiprime: 5 × 2111, the product of two primes.

  2. 2

    10555 is composite. Its prime factorisation is

    10555=5×211110555 = 5 \times 2111
  3. 3

    The divisors add up to 12672; without 10555 itself that is 2117, so 10555 is deficient (2117 is less than 10555). Euler's totient φ(10555) = 8440 numbers up to 10555 share no factor with it.

  4. 4

    The digits of 10555 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10555 = 5 \times 2111 \]

10555 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12672
Euler totient φ(n)8440
Square111408025
Cube1175911703875
Square root102.737530
Digit sum / digital root16 / 7
Collatz steps to 1148
Scientific notation1.0555 × 10410^{4}

10555 in other forms

FormValue
In wordsten thousand five hundred and fifty-five
Binary (base 2)10100100111011
Octal (base 8)24473
Hexadecimal (base 16)293B
Base 3112110221
As time10555 seconds = 2 h 55 min 55 s

Is 10555 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.
5Yes (10555 ÷ 5 = 2111)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 6)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 10555 a prime number?

No. 10555 = 5 × 2111, so it is divisible by 5.

What are the factors of 10555?

1, 5, 2111, 10555.

What is 10555 in binary?

10100100111011 (hexadecimal 293B, octal 24473).

What is the square root of 10555?

About 102.7375.

Is 10555 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 10555?

10555 is a semiprime: 5 × 2111, the product of two primes.

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