172 (number)

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Cardinal one hundred seventy-two
Ordinal 172nd
(one hundred seventy-second)
Factorization 22 × 43
Divisors 1, 2, 4, 43, 86, 172
Greek numeral ΡΟΒ´
Roman numeral CLXXII
Binary 101011002
Ternary 201013
Octal 2548
Duodecimal 12412
Hexadecimal AC16

172 (one hundred [and] seventy-two) is the natural number following 171 and preceding 173.

Contents

In mathematics

172 is a part of a near-miss for being a counterexample to Fermat's last theorem, as 1353 + 1383 = 1723− 1. This is only the third near-miss of this form, two cubes adding to one less than a third cube. [1] It is also a "thickened cube number", half an odd cube (73 = 343) rounded up to the next integer. [2]

See also

Related Research Articles

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

2000 is a natural number following 1999 and preceding 2001.

1729 is the natural number following 1728 and preceding 1730. It is a taxicab number, and is variously known as Ramanujan's number and the Ramanujan-Hardy number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital. He related their conversation:

I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."

126 is the natural number following 125 and preceding 127.

4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

216 is the natural number following 215 and preceding 217. It is a cube, and is often called Plato's number, although it is not certain that this is the number intended by Plato.

225 is the natural number following 224 and preceding 226.

251 is the natural number between 250 and 252. It is also a prime number.

189 is the natural number following 188 and preceding 190.

252 is the natural number following 251 and preceding 253.

271 is the natural number after 270 and before 272.

20,000 is the natural number that comes after 19,999 and before 20,001.

30,000 is the natural number that comes after 29,999 and before 30,001.

219 is the natural number following 218 and preceding 220.

888 is the natural number following 887 and preceding 889.

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA050787". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA050492(Thickened cube numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
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