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Perfect Number
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28. The first four perfect numbers are 6 (number), 6, 28 (number), 28, 496 (number), 496 and 8128 (number), 8128. The sum of proper divisors of a number is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors; in symbols, \sigma_1(n)=2n where \sigma_1 is the sum-of-divisors function. This definition is ancient, appearing as early as Euclid's Elements, Euclid's ''Elements'' (VII.22) where it is called (''perfect'', ''ideal'', or ''complete number''). Euclid also proved a formation rule (IX.36) whereby \frac is an even perfect number whenever q ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Santali Language
Santali (, , , , ) is a Kherwarian languages, Kherwarian Munda languages, Munda language spoken natively by the Santals, Santal people of South Asia. It is the most widely-spoken language of the Munda subfamily of the Austroasiatic languages, related to Ho language, Ho and Mundari language, Mundari, spoken mainly in the Indian states of Assam, Bihar, Jharkhand, Mizoram, Odisha, Tripura and West Bengal. It is a recognised regional language of India as per the Eighth Schedule to the Constitution of India, Eighth Schedule of the Indian Constitution. It is spoken by around 7.6 million people in India, Bangladesh, Bhutan and Nepal, making it the third most-spoken Austroasiatic languages, Austroasiatic language after Vietnamese language, Vietnamese and Khmer language, Khmer. Santali was a mainly oral language until developments were made by European missionaries to write it in Bengali script, Bengali, Odia script, Odia and Roman scripts. Eventually, the Ol Chiki script was developed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Telugu Language
Telugu (; , ) is a Dravidian languages, Dravidian language native to the Indian states of Andhra Pradesh and Telangana, where it is also the official language. Spoken by about 96 million people (2022), Telugu is the most widely spoken member of the Dravidian language family, and one of the twenty-two Languages with legal status in India, scheduled languages of the Republic of India. It is one of the few languages that has primary official status in more than one States and union territories of India, Indian state, alongside Hindi and Bengali language, Bengali. Telugu is one of the languages designated as a Classical Languages of India, classical language by the Government of India. It is the 14th most spoken native language in the world.Statistics in Modern Standard Telugu is based on the dialect of erstwhile Krishna, Guntur, East Godavari and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bengali Language
Bengali, also known by its endonym and exonym, endonym Bangla (, , ), is an Indo-Aryan languages, Indo-Aryan language belonging to the Indo-Iranian languages, Indo-Iranian branch of the Indo-European languages, Indo-European language family. It is native to the Bengal region (Bangladesh, India's West Bengal and Tripura) of South Asia. With over 242 million native speakers and another 43 million as second language speakers as of 2025, Bengali is the List of languages by number of native speakers, sixth most spoken native language and the List of languages by total number of speakers, seventh most spoken language by the total number of speakers in the world. Bengali is the Official language, official, National language, national, and most widely spoken language of Bangladesh, with 98% of Bangladeshis using Bengali as their first language. It is the second-most widely spoken scheduled languages of India, language in India. It is the official language of the Indian states of West ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sindhi Language
Sindhi ( ; or , ) is an Indo-Aryan language spoken by more than 30 million people in the Pakistani province of Sindh, where it has official status, as well as by 1.7 million people in India, where it is a Scheduled languages of India, scheduled language without state-level official status. Sindhi is primarily written in the Perso-Arabic script in Pakistan, while in India, both the Perso-Arabic script and Devanagari are used. Sindhi is a Northwestern Indo-Aryan languages, Northwestern Indo-Aryan language, and thus related to, but not mutually intelligible with, Saraiki language, Saraiki and Punjabi language, Punjabi. Sindhi has several regional dialects. The earliest written evidence of modern Sindhi as a language can be found in a translation of the Qur’an into Sindhi dating back to 883 AD. Sindhi was one of the first Indo-Aryan languages to encounter influence from Persian language, Persian and Arabic following the Umayyad campaigns in India, Umayyad conquest in 712 AD. A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Malayalam Numerals
Malayalam numerals are the numeral system of the Malayalam script used by Malayalam in Kerala Kerala ( , ) is a States and union territories of India, state on the Malabar Coast of India. It was formed on 1 November 1956, following the passage of the States Reorganisation Act, by combining Malayalam-speaking regions of the erstwhile .... It is one of several Indian numeral systems. This system is archaic and nowadays the Hindu–Arabic numeral system is used commonly. However it is still found in many documents of cultural or historical importance. Base numbers Below is a list of Malayalam numerals with their Hindu–Arabic equivalents as well as their respective Malayalam translations and transliterations. Originally, a number like "11" would have been written as "൰൧" and not "൧൧" to match the Malayalam word for 11 and "10,00,000" as "൰൱൲" similar to the Tamil numeral system. Later on this system got reformed to be more similar to the Hindu–Arabic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tamil Numerals
The Tamil language has Numeral (linguistics), number words and dedicated symbols for them in the Tamil script. Basic numbering in Tamil Zero Old Tamil possesses a special numerical character for zero ''(see #Old Tamil numerals, Old Tamil numerals below),'' which is read as (literally, no/nothing). Modern Tamil words for zero include () or (). First ten numbers () Transcribing other numbers Reproductive and attributive prefixes Tamil has a numeric prefix for each number from 1 to 9, which can be added to the words for the powers of ten (ten, hundred, thousand, etc.) to form multiples of them. For instance, the word for fifty, () is a combination of (, the prefix for five) and (, which is ten). The prefix for nine changes with respect to the succeeding base 10. + the unvoiced consonant of the succeeding base 10 forms the prefix for nine. For instance, 90 is + ( being the unvoiced version of ), hence, ). These are typically void in the Tamil language except f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saraiki Language
Saraiki ( ', ; also spelt Siraiki, or Seraiki) is an Indo-Aryan language of the Lahnda group. "The existence of Lahnda as a separate language has long been recognised under various names such as Jatki, Multani, Hindki or Hindko and Western Panjabi....it is called Multani, but this name properly applies only to the form of Lahnda spoken around Multan and the neighbourhood." It is spoken by 28.84 million people, as per the 2023 Pakistani census, taking prevalence in Southern Punjab with remants in Northern Sindh and the Derajat region. Saraiki has partial mutual intelligibility with Standard Punjabi, and it shares with it a large portion of its vocabulary and Linguistic morphology, morphology. At the same time in #Phonology, its phonology it is radically different (particularly in the lack of tones, the preservation of the voiced aspirates and the development of implosive consonants), and has important grammatical features in common with the Sindhi language spoken to the south. S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Senary
A senary () numeral system (also known as base-6, heximal, or seximal) has 6, six as its radix, base. It has been adopted independently by a small number of cultures. Like the decimal base 10, the base is a semiprime, though it is unique as the product of the only two consecutive numbers that are both prime (2 and 3). As six is a superior highly composite number, many of the arguments made in favor of the duodecimal system also apply to the senary system. Formal definition The standard Set (mathematics), set of digits in the senary system is \mathcal_6 = \lbrace 0, 1, 2, 3, 4, 5\rbrace, with the linear order 0 < 1 < 2 < 3 < 4 < 5. Let be the Kleene closure of , where is the operation of string concatenation for . The senary number system for natural numbers is the quotient set equipped with a shortlex order, where the equ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Armenian Numerals
Armenian numerals form a historic numeral system created using the majuscules (uppercase letters) of the Armenian alphabet. There was no notation for zero in the old system, and the numeric values for individual letters were added together. The principles behind this system are the same as for the ancient Greek numerals and Hebrew numerals. In modern Armenia, the familiar Arabic numerals are used. In contemporary writing, Armenian numerals are used more or less like Roman numerals in modern English, e.g. Գարեգին Բ. means Garegin II and Գ. գլուխ means ''Chapter III'' (as a headline). The final two letters of the Armenian alphabet, "o" (Օ) and "fe" (Ֆ), were added to the Armenian alphabet only after Arabic numerals were already in use, to facilitate transliteration of other languages. Thus, they sometimes have a numerical value assigned to them. Notation As in Hebrew and ancient notation, in Armenian numerals distinct symbols represent multiples of po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Khmer Numerals
Khmer numerals ០ ១ ២ ៣ ៤ ៥ ៦ ៧ ៨ ៩ are the Numerical digit, numerals used in the Khmer language. They have been in use since at least the early 7th century. Numerals Having been derived from the Hindu–Arabic numeral system, Hindu numerals, modern Khmer numerals also represent a decimal positional notation system. It is the script with the first extant material evidence of Zero#Zero as a decimal digit, zero as a numerical figure, dating its use back to the seventh century, two centuries before its certain use in India. Old Khmer, or Angkorian Khmer, also possessed separate symbols for the numbers 10, 20, and 100. Each multiple of 20 or 100 would require an additional stroke over the character, so the number 47 was constructed using the 20 symbol with an additional upper stroke, followed by the symbol for number 7. This inconsistency with its decimal, decimal system suggests that spoken #Angkorian numbers, Angkorian Khmer used a vigesimal system. As both ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Babylonian Cuneiform Numerals
Babylonian cuneiform numerals, also used in Assyria and Chaldea, were written in cuneiform, using a wedge-tipped reed stylus to print a mark on a soft clay tablet which would be exposed in the sun to harden to create a permanent record. The Babylonians, who were famous for their astronomical observations, as well as their calculations (aided by their invention of the abacus), used a sexagesimal (base-60) positional numeral system inherited from either the Sumerian or the Akkadian civilizations. Neither of the predecessors was a positional system (having a convention for which 'end' of the numeral represented the units). Origin This system first appeared around 2000 BC; its structure reflects the decimal lexical numerals of Semitic languages rather than Sumerian lexical numbers. However, the use of a special Sumerian sign for 60 (beside two Semitic signs for the same number) attests to a relation with the Sumerian system. Symbols The Babylonian system is credited as b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
