162 (number)

← 161 162 163 →
← 160 161 162 163 164 165 166 167 168 169 → List of numbers; Integers; ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred sixty-two
Ordinal	162nd; (one hundred sixty-second)
Factorization	2 × 34
Divisors	1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greek numeral	ΡΞΒ´
Roman numeral	CLXII
Binary	101000102
Ternary	200003
Senary	4306
Octal	2428
Duodecimal	11612
Hexadecimal	A216

162 (one hundred [and] sixty-two) is the natural number between 161 and 163.

In mathematics

Having only 2 and 3 as its prime divisors, 162 is a 3-smooth number.^[1] 162 is also an abundant number, since its sum of divisors $1+2+3+6+9+18+27+54+81=201$ is greater than it.^[2] As the product $3\times 6\times 9=162$ of numbers three units apart from each other, it is a triple factorial number.^[3]

There are 162 ways of partitioning seven items into subsets of at least two items per subset.^[4] 162⁶⁴ + 1 is a prime number.

In religion

Jared was 162 when he became the father of Enoch.

In sports

162 is the total number of baseball games each team plays during a regular season in Major League Baseball.^[5]^[6]

References

^ Sloane, N. J. A. (ed.). "Sequence A003586 (3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
^ Sloane, N. J. A. (ed.). "Sequence A005101 (Abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ Sloane, N. J. A. (ed.). "Sequence A007661 (Triple factorial numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ Sloane, N. J. A. (ed.). "Sequence A000296 (Set partitions without singletons)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ Karpin, Howie (2011), 162-0: Imagine a Mets Perfect Season, Triumph Books, ISBN 9781623684440.
^ Formosa, Dan; Hamburger, Paul (2009), Baseball Field Guide: An In-Depth Illustrated Guide to the Complete Rules of Baseball, Da Capo Press, p. 23, ISBN 9780786732098.

[1] Sloane, N. J. A. (ed.). "Sequence A003586 (3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..

[2] Sloane, N. J. A. (ed.). "Sequence A005101 (Abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[3] Sloane, N. J. A. (ed.). "Sequence A007661 (Triple factorial numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[4] Sloane, N. J. A. (ed.). "Sequence A000296 (Set partitions without singletons)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[5] Karpin, Howie (2011), 162-0: Imagine a Mets Perfect Season, Triumph Books, ISBN 9781623684440.

[6] Formosa, Dan; Hamburger, Paul (2009), Baseball Field Guide: An In-Depth Illustrated Guide to the Complete Rules of Baseball, Da Capo Press, p. 23, ISBN 9780786732098.

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