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The number 2498

2498 is a composite number with 4 divisors. Its prime factorisation is 2 × 1249. Divisors (4): 1, 2, 1249, 2498.

Number

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How to work it out

  1. 1

    What is special about 2498: a semiprime: 2 × 1249, the product of two primes.

  2. 2

    2498 is composite. Its prime factorisation is

    2498=2×12492498 = 2 \times 1249
  3. 3

    The divisors add up to 3750; without 2498 itself that is 1252, so 2498 is deficient (1252 is less than 2498). Euler's totient φ(2498) = 1248 numbers up to 2498 share no factor with it.

  4. 4

    The digits of 2498 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.

LaTeX source of the formulas on this page
\[ 2498 = 2 \times 1249 \]

2498 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3750
Euler totient φ(n)1248
Square6240004
Cube15587529992
Square root49.979996
Digit sum / digital root23 / 5
Collatz steps to 1177
Scientific notation2.498 × 10310^{3}

2498 in other forms

FormValue
In wordstwo thousand four hundred and ninety-eight
Roman numeralsMMCDXCVIII
Binary (base 2)100111000010
Octal (base 8)4702
Hexadecimal (base 16)9C2
Base 310102112
As time2498 seconds = 41 min 38 s

Is 2498 divisible by 2 to 12?

DivisorAnswerRule
2Yes (2498 ÷ 2 = 1249)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 2)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 2)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 2)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 8)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 2498 a prime number?

No. 2498 = 2 × 1249, so it is divisible by 2.

What are the factors of 2498?

1, 2, 1249, 2498.

What is 2498 in binary?

100111000010 (hexadecimal 9C2, octal 4702).

What is the square root of 2498?

About 49.9800.

What is 2498 in Roman numerals?

MMCDXCVIII.

Is 2498 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 2498?

2498 is a semiprime: 2 × 1249, the product of two primes.

All about 2498

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    2498: is it prime? Factors, square root, binary, Roman numeral | WordGPT