Hailstone Number

Sequences of Integers generated in the Collatz Problem. For example, for a starting number of 7, thesequence is 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, .... Such sequences are called hailstonesequences because the values typically rise and fall, somewhat analogously to a hailstone inside a cloud.

While a hailstone eventually becomes so heavy that it falls to ground, every starting Integer ever tested has produced ahailstone sequence that eventually drops down to the number 1 and then ``bounces'' into the small loop 4, 2, 1, ....

References

Schwartzman, S. The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English. Washington, DC: Math. Assoc. Amer., 1994.

• Cayley Number
• Cayley's Group Theorem
• Cayley's Hypergeometric Function Theorem
• Cayley's Ruled Surface
• Cayley's Sextic
• Cayley's Sextic Evolute
• Cayley Tree
• C-Curve
• C-Determinant
• Cech Cohomology
• Ceiling Function
• Cell
• Cellular Automaton
• Cellular Space
• Center
• Centered Cube Number
• Centered Hexagonal Number
• Centered Pentagonal Number
• Centered Polygonal Number
• Centered Square Number
• Centered Triangular Number
• Center Function
• Center (Group)
• Center of Gravity
• Center of Mass