Interesting Esoterica

On a curious property of 3435

Article by Berkel, Daan Van
  • Published in 2009
  • Added on
Folklore tells us that there are no uninteresting natural numbers. But some natural numbers are more interesting then others. In this article we will explain why 3435 is one of the more interesting natural numbers around. We will show that 3435 is a Munchausen number in base 10, and we will explain what we mean by that. We will further show that for every base there are finitely many Munchausen numbers in that base.

Links

Other information

key
Berkel2009
type
article
date_added
2011-02-02
date_published
2009-09-14
arxivId
0911.3038v2
journal
Folklore
pages
1--5

BibTeX entry

@article{Berkel2009,
	key = {Berkel2009},
	type = {article},
	title = {On a curious property of 3435},
	author = {Berkel, Daan Van},
	abstract = {Folklore tells us that there are no uninteresting natural numbers. But some natural numbers are more interesting then others. In this article we will explain why 3435 is one of the more interesting natural numbers around. We will show that 3435 is a Munchausen number in base 10, and we will explain what we mean by that. We will further show that for every base there are finitely many Munchausen numbers in that base.},
	comment = {},
	date_added = {2011-02-02},
	date_published = {2009-09-14},
	urls = {http://arxiv.org/abs/0911.3038,http://arxiv.org/pdf/0911.3038v2},
	collections = {Easily explained,Fun maths facts,Integerology},
	url = {http://arxiv.org/abs/0911.3038 http://arxiv.org/pdf/0911.3038v2},
	urldate = {2011-02-02},
	archivePrefix = {arXiv},
	arxivId = {0911.3038v2},
	eprint = {0911.3038v2},
	journal = {Folklore},
	pages = {1--5},
	year = 2009
}