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15
508
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Question vaguely related to the Collatz conjecture.

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#elementary-number-theory #problem-solving #collatz-conjecture
290
Views

A formula for building other collatz-like mappings similar to the original 3x + 1.

Published on
#number-theory #modular-arithmetic #dynamical-systems #collatz-conjecture
443
Views

Upper bound on the elements of a Collatz cycle

Published on
#discrete-mathematics #collatz-conjecture
558
Views

Question regarding 1-cycles in the Collatz conjecture

Published on
#elementary-number-theory #problem-solving #collatz-conjecture
150
Views

Prove that for all $x$ there exists an $n$ such that this expression is a power of $2$

Published on
#solution-verification #proof-writing #collatz-conjecture
692
Views

Peculiar pattern in the Collatz sequence

Published on
#number-theory #visualization #pattern-recognition #collatz-conjecture
160
Views

Hailstone numbers producing a specific number of rises and falls

Published on
#collatz-conjecture
244
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Near misses to the start of a potential loop in the Collatz sequence

Published on
#collatz-conjecture
717
Views

Average number of steps in the Collatz conjecture

Published on
#logarithms #collatz-conjecture
322
Views

Deriving a better approximation for the sum of steps in the Collatz conjecture

Published on
#summation #logarithms #expected-value #collatz-conjecture
317
Views

A question about mathematical reasoning regarding observations in Collatz conjecture 1-cycles

Published on
#elementary-number-theory #recreational-mathematics #collatz-conjecture
242
Views

Collatz-like problem involving prime factors

Published on
#number-theory #recreational-mathematics #problem-solving #collatz-conjecture
416
Views

Is there a way to predict periodic behavior in Collatz conjecture 1-cycles?

Published on
#elementary-number-theory #exponential-function #recreational-mathematics #collatz-conjecture
218
Views

Why do the odd numbers in a Collatz trajectory hit so many Primes?

Published on
#number-theory #prime-numbers #collatz-conjecture
189
Views

A group presentation given by the Collatz sequence of a fixed $n$. Has this been studied before?

Published on
#group-theory #elementary-number-theory #reference-request #group-presentation #collatz-conjecture

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