196 (number)

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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).
• 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 a billion iterations without finding a palindrome, but no one has ever proven that it will never produce one.

With the exceptions of 887 and 1675, all terms of the 196 trajectory are divisible by 11.

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 United States 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 United States Navy Clemson-class destroyer during World War II
• USS Logan (APA-196) was a United States Navy Haskell-class attack transport during World War II
• USS Meadowlark (AMS-196) was a United States Navy Falcon-class coastal minesweeper from 1954 to 1976
• USS Minidoka (AK-196) was a United States Navy Alamosa-class cargo ship during World War II
• USS Rinehart (DE-196) was a United States Navy Cannon-class destroyer escort during World War II
• USS Searaven (SS-196) was a United States Navy Sargo-class submarine prior to World War II

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.