194 (number): Difference between revisions
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'''194''' ('''one hundred [and] ninety-four''') is the [[natural number]] following [[193 (number)|193]] and preceding [[195 (number)|195]]. |
'''194''' ('''one hundred [and] ninety-four''') is the [[natural number]] following [[193 (number)|193]] and preceding [[195 (number)|195]]. |
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==In mathematics== |
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* 194 is the smallest [[Markov number]] that is neither a [[Fibonacci number]] nor a [[Pell number]]<ref>{{cite OEIS|mode=cs2|A111032|Non-Fibonacci Markoff numbers}}</ref> |
* 194 is the smallest [[Markov number]] that is neither a [[Fibonacci number]] nor a [[Pell number]]<ref>{{cite OEIS|mode=cs2|A111032|Non-Fibonacci Markoff numbers}}</ref> |
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* 194 is the smallest number written as the sum of three [[square number|squares]] in five ways<ref>{{cite OEIS|mode=cs2|A095809|Least positive number having exactly n partitions into three squares}}</ref> |
* 194 is the smallest number written as the sum of three [[square number|squares]] in five ways<ref>{{cite OEIS|mode=cs2|A095809|Least positive number having exactly n partitions into three squares}}</ref> |
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* 194 is the number of [[ |
* 194 is the number of [[irreducible representation]]s of the [[Monster group]]<ref>{{citation |
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}}</ref> |
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* 194!! - 1 is prime<ref>{{cite OEIS|A007749|Numbers k such that k!! - 1 is prime|access-date=2022-05-24}}</ref> |
* 194!! - 1 is prime<ref>{{cite OEIS|A007749|Numbers k such that k!! - 1 is prime|access-date=2022-05-24}}</ref> |
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==See also== |
==See also== |
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Latest revision as of 13:01, 2 July 2024
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|---|---|---|---|---|
| Cardinal | one hundred ninety-four | |||
| Ordinal | 194th (one hundred ninety-fourth) | |||
| Factorization | 2 × 97 | |||
| Greek numeral | ΡϞΔ´ | |||
| Roman numeral | CXCIV | |||
| Binary | 110000102 | |||
| Ternary | 210123 | |||
| Senary | 5226 | |||
| Octal | 3028 | |||
| Duodecimal | 14212 | |||
| Hexadecimal | C216 | |||
194 (one hundred [and] ninety-four) is the natural number following 193 and preceding 195.
In mathematics[edit]
- 194 is the smallest Markov number that is neither a Fibonacci number nor a Pell number[1]
- 194 is the smallest number written as the sum of three squares in five ways[2]
- 194 is the number of irreducible representations of the Monster group[3]
- 194!! - 1 is prime[4]
See also[edit]
References[edit]
- ^ Sloane, N. J. A. (ed.), "Sequence A111032 (Non-Fibonacci Markoff numbers)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation
- ^ Sloane, N. J. A. (ed.), "Sequence A095809 (Least positive number having exactly n partitions into three squares)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation
- ^ Duncan, John F. R.; Griffin, Michael J.; Ono, Ken (2015), "Moonshine", Research in the Mathematical Sciences, 2: A11:1–A11:57, arXiv:1411.6571, doi:10.1186/s40687-015-0029-6, MR 3375653, S2CID 256430530
- ^ Sloane, N. J. A. (ed.). "Sequence A007749 (Numbers k such that k!! - 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-24.
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