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Explore the fascinating world of Harshad Numbers (also known as Niven Numbers) in this 17-minute mathematical video featuring Tony Padilla from the University of Nottingham. Discover what makes these special integers so intriguing - numbers that are divisible by the sum of their digits. Learn about the mathematical properties that define Harshad numbers, examine specific examples across different number bases, and understand why mathematicians find them so captivating. Delve into the patterns and behaviors of these numbers, including discussions about consecutive Harshad numbers and their distribution. Gain insights into the computational aspects of identifying Harshad numbers and explore the broader mathematical concepts that connect to additive number theory. Perfect for mathematics enthusiasts who enjoy number theory and want to understand another beautiful pattern hidden within the integers.
