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The number 10473

10473 is a composite number with 4 divisors. Its prime factorisation is 3 × 3491. Divisors (4): 1, 3, 3491, 10473.

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How to work it out

  1. 1

    What is special about 10473: a semiprime: 3 × 3491, the product of two primes.

  2. 2

    10473 is composite. Its prime factorisation is

    10473=3×349110473 = 3 \times 3491
  3. 3

    The divisors add up to 13968; without 10473 itself that is 3495, so 10473 is deficient (3495 is less than 10473). Euler's totient φ(10473) = 6980 numbers up to 10473 share no factor with it.

  4. 4

    The digits of 10473 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10473 = 3 \times 3491 \]

10473 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13968
Euler totient φ(n)6980
Square109683729
Cube1148717693817
Square root102.337676
Digit sum / digital root15 / 6
Collatz steps to 186
Scientific notation1.0473 × 10410^{4}

10473 in other forms

FormValue
In wordsten thousand four hundred and seventy-three
Binary (base 2)10100011101001
Octal (base 8)24351
Hexadecimal (base 16)28E9
Base 3112100220
As time10473 seconds = 2 h 54 min 33 s

Is 10473 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).
3Yes (10473 ÷ 3 = 3491)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 10473 a prime number?

No. 10473 = 3 × 3491, so it is divisible by 3.

What are the factors of 10473?

1, 3, 3491, 10473.

What is 10473 in binary?

10100011101001 (hexadecimal 28E9, octal 24351).

What is the square root of 10473?

About 102.3377.

Is 10473 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 10473?

10473 is a semiprime: 3 × 3491, the product of two primes.

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