196 (number)

196 (one hundred [and] ninety-six) is the natural number following 195 and preceding 197.

In mathematics

196 is:

• an even number.
• an abundant number, as the sum of its proper divisors (203) is greater than 196.
• a composite number.
• a square number (14²).
• the difference of 2 square numbers: 50² -48².
• an Erdős–Woods number, as it is possible to find sequences of 196 consecutive integers such that each inner member shares a factor with either the first or the last member.^[1]
• an odious number.
• a powerful number.
• a practical number.^[2]
• an 11-gonal number.^[3]
• a 34-gonal number.
• a pentagonal pyramidal number.^[4]
• a heptagonal pyramidal number.^[5]
• palindromic in bases 13 (121₁₃), 27 (77₂₇), 48 (44₄₈), 97 (22₉₇) and 195 (11₁₉₅).
• a Harshad number in bases 4, 7, 8, 13, 14, 15, 22, 25, 27, 28, 29, (and 17 other bases).
• the aliquot sum of 140, 176 and 386.
• part of the 37-aliquot tree. The aliquot sequence starting at 96 is: 96, 156, 236, 184, 176, 196, 203, 37, 1, 0

There are 196 one-sided heptominoes, the polyominoes made from 7 squares.

Possible Lychrel number

A Lychrel number is a natural number which cannot form a palindromic number through the iterative process of repeatedly reversing its digits and adding the resulting numbers. 196 is the lowest number conjectured to be a Lychrel number in base 10; the process has been carried out for over billion iterations without finding a palindrome, but no one has ever proven that it will never produce one.

In geography

• House at 196 Main Street, Wakefield, Massachusetts

In the military

• 196th Battalion (Western Universities), CEF was a unit in the Canadian Expeditionary Force during World War I
• 196th Division (People's Republic of China) was a military formation of the People's Volunteer Army during the Korean War
• 196th Infantry Brigade (United States) is part of the United States Army Reserve's 98th Division
• 196th Reconnaissance Squadron is a unit of the California Air National Guard
• USNS Kanawha (T-AO-196) is a U.S. Navy Henry J. Kaiser-class fleet replenishment oiler in service since 1990
• USS Edith M. III (SP-196) was a motorboat during World War I
• USS George E. Badger (DD-196) was a U.S. Navy Clemson-class destroyer during World War II
• USS Logan (APA-196) was a U.S. Navy Haskell class Attack Transport during World War II
• USS Meadowlark (AMS-196) was a U.S. Navy Falcon-class coastal minesweeper from 1954–1976
• USS Minidoka (AK-196) was a U.S. Navy Alamosa-class cargo ship during World War II
• USS Rinehart (DE-196) was a U.S. Navy Cannon-class destroyer escort during World War II
• USS Searaven (SS-196) was a U.S. Navy Sargo-class submarine prior to World War II

In sports

• Jordan 196 Formula One car during the 1996 season

In transportation

• Mercedes-Benz W196
• London Buses route 196

In other fields

196 is also:

• The year AD 196 or 196 BC
• Number of Yoga Sutras of Patanjali is 196
• The atomic number of an element temporarily called Unennhexium
• 196 Philomela is a large S-type main belt asteroid
• Minuscule 196 is a Greek minuscule manuscript of the New Testament, on parchment

See also

• 196 Palindrome Quest
• List of highways numbered 196
• United Nations Security Council Resolution 196
• United States Supreme Court cases, Volume 196
• Pennsylvania House of Representatives, District 196
• Independent School District 196, Twin Cities, Minnesota

External links

Wikimedia Commons has media related to 196 (number).

• 196 and Other Lychrel Numbers
• 196 Palindrome Quest
• Number Facts and Trivia: 196
• The Number 196
• Number Gossip: 196
• The Positive Integer 196

References

• Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (pp. 142 – 143). London: Penguin Group.