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The number 2446

2446 is a composite number with 4 divisors. Its prime factorisation is 2 × 1223. Divisors (4): 1, 2, 1223, 2446.

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How to work it out

  1. 1

    What is special about 2446: a semiprime: 2 × 1223, the product of two primes.

  2. 2

    2446 is composite. Its prime factorisation is

    2446=2×12232446 = 2 \times 1223
  3. 3

    The divisors add up to 3672; without 2446 itself that is 1226, so 2446 is deficient (1226 is less than 2446). Euler's totient φ(2446) = 1222 numbers up to 2446 share no factor with it.

  4. 4

    The digits of 2446 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 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 2446 = 2 \times 1223 \]

2446 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3672
Euler totient φ(n)1222
Square5982916
Cube14634212536
Square root49.457052
Digit sum / digital root16 / 7
Collatz steps to 1133
Scientific notation2.446 × 10310^{3}

2446 in other forms

FormValue
In wordstwo thousand four hundred and forty-six
Roman numeralsMMCDXLVI
Binary (base 2)100110001110
Octal (base 8)4616
Hexadecimal (base 16)98E
Base 310100121
As time2446 seconds = 40 min 46 s

Is 2446 divisible by 2 to 12?

DivisorAnswerRule
2Yes (2446 ÷ 2 = 1223)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 6)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 2446 a prime number?

No. 2446 = 2 × 1223, so it is divisible by 2.

What are the factors of 2446?

1, 2, 1223, 2446.

What is 2446 in binary?

100110001110 (hexadecimal 98E, octal 4616).

What is the square root of 2446?

About 49.4571.

What is 2446 in Roman numerals?

MMCDXLVI.

Is 2446 divisible by 3?

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

What is special about the number 2446?

2446 is a semiprime: 2 × 1223, the product of two primes.

All about 2446

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    2446: is it prime? Factors, square root, binary, Roman numeral | WordGPT