114 (number): Difference between revisions
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*114 appears in the [[Padovan sequence]],<ref>{{Cite OEIS|A000931|2=Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0}}</ref> preceded by the terms 49, 65, 86 (it is the sum of the first two of these). |
*114 appears in the [[Padovan sequence]],<ref>{{Cite OEIS|A000931|2=Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0}}</ref> preceded by the terms 49, 65, 86 (it is the sum of the first two of these). |
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*114 is a [[repdigit]] in base 7 (222). |
*114 is a [[repdigit]] in base 7 (222). |
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*114 is the diameter of a circle with approximate circumference of 358. |
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==In religion== |
==In religion== |
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Revision as of 04:04, 25 November 2024
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|---|---|---|---|---|
| Cardinal | one hundred fourteen | |||
| Ordinal | 114th (one hundred fourteenth) | |||
| Factorization | 2 × 3 × 19 | |||
| Divisors | 1, 2, 3, 6, 19, 38, 57, 114 | |||
| Greek numeral | ΡΙΔ´ | |||
| Roman numeral | CXIV, cxiv | |||
| Binary | 11100102 | |||
| Ternary | 110203 | |||
| Senary | 3106 | |||
| Octal | 1628 | |||
| Duodecimal | 9612 | |||
| Hexadecimal | 7216 | |||
114 (one hundred [and] fourteen) is the natural number following 113 and preceding 115.
In mathematics
- 114 is an abundant number, a sphenic number[1] and a Harshad number.[2] It is the sum of the first four hyperfactorials, including H(0). At 114, the Mertens function sets a new low of -6, a record that stands until 197.
- 114 is the smallest positive integer* which has yet to be represented as a3 + b3 + c3, where a, b, and c are integers. It is conjectured that 114 can be represented this way. (*Excluding integers of the form 9k ± 4, for which solutions are known not to exist.)[3]
- There is no answer to the equation φ(x) = 114, making 114 a nontotient.[4]
- 114 appears in the Padovan sequence,[5] preceded by the terms 49, 65, 86 (it is the sum of the first two of these).
- 114 is a repdigit in base 7 (222).
In religion
There are 114 chapters, or surahs, in the Quran.
There are 114 sayings in The Gospel of Thomas.
Shoghi Effendi passed away in the year 114 BE of the Baháʼí calendar (1957 CE), on November 4th.
In science
114 is the atomic number of flerovium.
See also
References
- ^ Sloane, N. J. A. (ed.). "Sequence A007304 (Sphenic numbers: products of 3 distinct primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005349 (Niven (or Harshad, or harshad) numbers: numbers that are divisible by the sum of their digits)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Houston, Robin (2019-09-06). "42 is the answer to the question "what is (-80538738812075974)3 + 804357581458175153 + 126021232973356313?"". The Aperiodical. Retrieved 2019-12-28.
- ^ Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients: even numbers k such that phi(m) = k has no solution)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.