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The number 2471

2471 is a composite number with 4 divisors. Its prime factorisation is 7 × 353. Divisors (4): 1, 7, 353, 2471.

Number

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How to work it out

  1. 1

    What is special about 2471: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 353, the product of two primes.

  2. 2

    2471 is composite. Its prime factorisation is

    2471=7×3532471 = 7 \times 353
  3. 3

    The divisors add up to 2832; without 2471 itself that is 361, so 2471 is deficient (361 is less than 2471). Euler's totient φ(2471) = 2112 numbers up to 2471 share no factor with it.

  4. 4

    The digits of 2471 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 2471 = 7 \times 353 \]

2471 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors2832
Euler totient φ(n)2112
Square6105841
Cube15087533111
Square root49.709154
Digit sum / digital root14 / 5
Collatz steps to 1133
Scientific notation2.471 × 10310^{3}

2471 in other forms

FormValue
In wordstwo thousand four hundred and seventy-one
Roman numeralsMMCDLXXI
Binary (base 2)100110100111
Octal (base 8)4647
Hexadecimal (base 16)9A7
Base 310101112
As time2471 seconds = 41 min 11 s

Is 2471 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 1)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.
7Yes (2471 ÷ 7 = 353)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 2471 a prime number?

No. 2471 = 7 × 353, so it is divisible by 7.

What are the factors of 2471?

1, 7, 353, 2471.

What is 2471 in binary?

100110100111 (hexadecimal 9A7, octal 4647).

What is the square root of 2471?

About 49.7092.

What is 2471 in Roman numerals?

MMCDLXXI.

Is 2471 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 2471?

2471 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 353, the product of two primes.

All about 2471

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    2471: is it prime? Factors, square root, binary, Roman numeral | WordGPT