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The Year 2025 Trivia Quiz

Mathematical Properties of the Number 2025

As we step into the year 2025, let's celebrate not just the milestones of time but also the fascinating mathematical properties that make 2025 special. Let's take a closer look at this remarkable year through the lens of mathematics. Enjoy!

A collection quiz by Matthew_07. Estimated time: 3 mins.

Author
Matthew_07

Time
3 mins

Type

Quiz #
418,700

Updated
Jan 02 25

# Qns
10

Difficulty
Average

Avg Score
8 / 10

Plays
202

Awards
Editor's Choice

Last 3 plays: Guest 198 (7/10), NDStegs (10/10), Johnmcmanners (10/10).

Select the ten correct descriptions of the number 2025 and avoid the six incorrect options. The definitions of more obscure terms are given as follows: An ALGEBRAIC number is a root of a non-zero polynomial equation with integer coefficients; a DEFICIENT number is a number where the sum of its proper divisors is less than the number itself; a FIBONACCI number is a number from the Fibonacci sequence (1, 1, 2, 3, 5, 8, ...), where the subsequent term is the sum of the two preceding terms; a HARSHAD number is divisible by the sum of its digits; a PERFECT number is a number that is equal to the sum of its proper divisors; a REGULAR number is a number whose only prime factors are 2, 3, and 5; a TRIANGULAR number (1, 3, 6, 10, ...) is derived from the counting of objects that are arranged in an equilateral triangle.

There are 10 correct entries. Get 3 incorrect and the game ends.

Odd Perfect Rational Cube Real Fibonacci Triangular Square Composite Palindromic Deficient Algebraic Regular Prime Natural Harshad

Left click to select the correct answers.
Right click if using a keyboard to cross out things you know are incorrect to help you narrow things down.

Most Recent Scores

Feb 07 2025 : Guest 198: 7/10
Feb 04 2025 : NDStegs: 10/10
Feb 04 2025 : Johnmcmanners: 10/10
Feb 02 2025 : Guest 98: 7/10
Jan 30 2025 : Melodia19: 9/10
Jan 27 2025 : Guest 173: 9/10
Jan 27 2025 : Eiim: 10/10
Jan 27 2025 : Stoaty: 3/10
Jan 26 2025 : Guest 81: 6/10

Quiz Answer Key and Fun Facts

Answer:

1. The number 2025 is an ALGEBRAIC number because it is a root of the polynomial equation x^2 − 2025 = 0. The other root is the negative counterpart, -45.

2. The prime factorization of 2025 is 5^2 � 3^4, making it a COMPOSITE number.

3. The divisors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, and 2025. The sum of its proper divisors (all divisors excluding the number itself) is 1726, which is less than 2025, making 2025 a DEFICIENT number.

4. The sum of the digits of 2025 is 2 + 0 + 2 + 5 = 9, and since 2025 is divisible by 9, it is a HARSHAD number.

5. As a positive integer, 2025 is a NATURAL number (0, 1, 2, 3, ...).

6. As 2025 is not divisible by 2, it is an ODD number.

7. The number 2025 can be expressed as the fraction 2025/1, making it a RATIONAL number.

8. Being an integer, 2025 is a REAL number.

9. The number 2025 is a REGULAR number (Hamming number) as it can be expressed in the form of 2^a * 3^b * 5^c, where a, b, and c are positive integers. Recall that the prime factorization of 2025 is given by 3^4 * 5^2.

10. Note that 2025 = 45^2, which makes it a SQUARE number and adds to the uniqueness of the year 2025. It follows 1936 = 44^2 and precedes 2116 = 46^2.

11. The number 2025 is NOT a CUBE number as it cannot be expressed in the form of x^3, where x is an integer.

12. The number 2025 is NOT a FIBONACCI number as the number does not appear in the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, ...).

13. The number 2025 is NOT a PALINDROMIC number, as it does not read the same forwards and backwards.

14. The number 2025 is NOT a PERFECT number, because the sum of its proper divisors is 1726, which is different from 2025. The first few perfect numbers are 6, 28, 496, and 8128.

15. The number 2025 is NOT a PRIME number, because it can be expressed as a product of smaller integers, as evident in its prime factorization 3^4 � 5^2.

16. The number 2025 is NOT a TRIANGULAR number, because it cannot be derived from the formula n*(n+1)/2. The first four triangular numbers are 1, 3, 6, and 10.

Source: Author Matthew_07

This quiz was reviewed by FunTrivia editor rossian before going online.
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