The Number Dictionary

A comprehensive mathematical reference for number properties and classifications

Mission Statement

The Number Dictionary provides a systematic approach to number theory, offering detailed analysis and classification of integer properties. Established in 2008, this resource serves researchers, educators, and students seeking authoritative information on mathematical number properties.

Our platform implements rigorous computational algorithms to determine prime numbers, factorizations, and various number classifications, ensuring accuracy and reliability in mathematical analysis.

Development History

Initial Release

October 2008 - Foundation of the number classification system

Architecture Modernization

January 2019 - Implementation of responsive design and performance optimization

Algorithm Enhancement

2019 - Improved computational efficiency for large number processing

Extended Classification System

September 2025 - Addition of advanced number property classifications

UI Framework Migration & Numeral System Expansion

December 2025 - Migrated from Bootstrap to Tailwind CSS for enhanced UI performance and modern design system. Added comprehensive numeral system pages including Sanskrit, Arabic, Roman, Maya, Chinese, Hebrew, and Greek numeral representations

Computational Capabilities

Number Systems

Comprehensive numeral system representations including Sanskrit, Arabic, Roman, Maya, Chinese, Hebrew, Greek, duodecimal, and vigesimal systems

Geometric Numbers

Identification and computation of nonagonal and decagonal number sequences

Perfect Powers

Determination of exponential representations and power decompositions

Abundant and Deficient Numbers

Classification based on sum of proper divisors relative to the number itself

Twin Prime Detection

Identification of prime pairs with difference of two

Negabinary Representation

Conversion to negative base numeral systems

Harshad Numbers

Numbers divisible by the sum of their digits

Kaprekar Numbers

Numbers whose square can be split into parts that sum to the original number

Smith Numbers

Composite numbers where the sum of digits equals the sum of prime factor digits

Technical Specifications

The Number Dictionary employs optimized algorithms for prime number computation, factorization, and number property determination. The system is designed for accuracy and computational efficiency, supporting analysis of integers up to specified maximum bounds.

Continuous development ensures the platform remains current with mathematical research and computational best practices. Regular updates enhance algorithmic performance and expand classification capabilities.