1450
1450 is a even composite number that follows 1449 and precedes 1451. It is composed of 12 distinct factors: 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450. Its prime factorization can be written as 2 × 5^2 × 29. 1450 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1450 is represented as 10110101010 in binary and 5AA in hexadecimal. Historically, it is written as MCDL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 29) reveals 4 prime building blocks.
Divisible by 2
1450 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
1450 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 10 is not a multiple of 9.
Divisible by 10
1450 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 1450 within several notable number theory sequences:
Timeline
Deep dive
How 1450 breaks down
1450 carries 12 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1340, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110101010 supports bitwise reasoning, hexadecimal 5AA aligns with computing notation, and the Roman numeral MCDL keeps the encyclopedic tradition alive. These attributes make 1450 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1450 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1445–1455) to tune search ranges, and educators feature 1450 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1450 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 1450
Is 1450 a prime number?
1450 is composite with 12 total factors and the prime factorization 2 × 5^2 × 29.
What is the prime factorization of 1450?
It breaks down as 2 × 5^2 × 29, multiplying the primes 2 × 5 × 5 × 29.
How is 1450 represented in binary and hexadecimal?
1450 converts to 10110101010 in binary and 5AA in hexadecimal, which are helpful for computer science applications.
Is 1450 a perfect square, cube, or triangular number?
1450 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1450?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.