---
title: "Lothar - Reviews, Revenue and Downloads in United Kingdom | Apple App Store"
description: "Lothar Collatz was born 6 July 1910 in Amsberg, Westphalia.  During his post-doctoral studies at at the age of 27, Collatz developed what is now known as the Collatz Conjecture.  Simply stated, the Co"
---

# Lothar — United Kingdom

![Lothar App Icon](https://is1-ssl.mzstatic.com/image/thumb/Purple126/v4/29/fe/02/29fe0200-f324-9ae9-7aac-3ed01fb9aceb/AppIcon-1x_U007emarketing-0-10-0-85-220.jpeg/434x0w.png)

**Developer:** [TimeHorse](https://apptail.io/developer/timehorse-zXbG)
**Category:** Education
**Rating:** 5.0/5 (1 ratings)
**Price:** Free
**Bundle ID:** com.timehorse.lothar
**Store:** Apple App Store
**Country:** United Kingdom
**Version:** 2.20 (released 2023-04-05)
**Original Release:** 2010-10-25
**Languages:** English

**App Store Link:** [Download on Apple App Store](https://apps.apple.com/gb/app/app/id388891196)
**AppTail Page:** [https://apptail.io/app/lothar-tidg/united-kingdom](https://apptail.io/app/lothar-tidg/united-kingdom)

## Lothar Description
Lothar Collatz was born 6 July 1910 in Amsberg, Westphalia.  During his
post-doctoral studies at at the age of 27, Collatz developed what is
now known as the Collatz Conjecture.

Simply stated, the Collatz Conjecture is as follows:

Given the function f, defined as:

         | n÷2     if n ≡ 0 (mod 2)
f(n) = | 3×n + 1 if n ≡ 1 (mod 2)
         |

for any positive starting integer n, repeated iterations of this
function will always lead to the cycle { 4, 2, 1 }.  In other words,
repeated iterations of some starting number will always be eventually
decreasing and that there are no other cycles in the sequence besides
{ 4, 2, 1 }.

The Reverse function, f', is defined as the sequence moving backward
from an ending integer through to some initial starting integer that
would eventually arrive at the number entered through a series of
iterations.  It is defined as follows:

          | n×2       if n ≡ 0, 1, 2, 3, 5 (mod 6)
f'(n) = | (n - 1)÷3 if n ≡ 4 (mod 6) & "Previous" pressed
          | n×2       if n ≡ 4 (mod 6) & "Multiply" pressed

This application was written by Jeffrey C. Jacobs and is Copyright ©2010
TimeHorse, LLC; source code is available upon request.

## Lothar Screenshots
- [Screenshot 1](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource116/v4/d3/2e/c2/d32ec2be-4bbc-5e87-ccf0-b5a797491ab0/9047d2ca-9a2e-4907-82b3-fae5d1efdefe_129_Photo_1.png/2048x2732.png)
- [Screenshot 2](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource126/v4/16/a1/83/16a18309-e495-4f93-476d-286e1fcb0405/5e2f82dd-bcd5-4acc-9183-b3194005c81f_129_Photo_2.png/2048x2732.png)
- [Screenshot 3](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource126/v4/14/1d/33/141d3326-94ad-7897-178f-4c62187255d3/fdf9f494-25be-41c3-bb95-bf551d2719b8_129_Photo_3.png/2048x2732.png)
- [Screenshot 4](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource126/v4/64/de/59/64de59dd-b871-4644-31f7-098919f19f97/151d3093-965a-43bd-bccd-c2daf2921d2f_129_Photo_0.png/2048x2732.png)
- [Screenshot 5](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource126/v4/15/c5/f1/15c5f1d0-b8d5-cb04-4bc0-c69b600737d8/38e37026-3040-4769-a4c1-076abcd48e1d_129_Photo_4.png/2048x2732.png)
- [Screenshot 6](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource116/v4/07/1f/ed/071fed08-7145-73ec-d96e-d2f462c853f9/d4609d9d-9d7b-467b-8756-09f38d3cf6e6_129_Photo_5.png/2048x2732.png)
- [Screenshot 7](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource126/v4/e8/5f/43/e85f43d2-5b97-27a7-8923-ff6bbd0e6944/f181103a-9cc7-43eb-8d27-6ccaac54019d_129_Photo_6.png/2048x2732.png)
- [Screenshot 8](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource116/v4/92/24/ba/9224ba08-0352-8094-73b4-8a6b4cd491ef/fb34d779-694d-48cb-bebd-ddf948a8196c_129_Photo_7.png/2732x2048.png)
- [Screenshot 9](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource126/v4/3c/bc/4c/3cbc4cd1-ad2f-39cf-b7d6-36ba946b96f8/2a546db0-d440-405f-81a3-87c1b584f122_129_Photo_8.png/2732x2048.png)
- [Screenshot 10](https://is1-ssl.mzstatic.com/image/thumb/PurpleSource126/v4/a2/5e/3a/a25e3ae2-992d-fd28-6ce0-cd78e6b5f187/f2a27782-1311-43f7-906d-53c12e0ad7c4_129_Photo_9.png/2732x2048.png)

## Lothar Rating Breakdown in United Kingdom
- 5 stars: 1 (100%)
- 4 stars: 0 (0%)
- 3 stars: 0 (0%)
- 2 stars: 0 (0%)
- 1 stars: 0 (0%)







---

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