# path-to-one — Math Roguelike – Collatz Quest

> Math Roguelike – Collatz Quest (iPhone/iPad app by Fuji Bit LLC..)

- Source: https://appshunter.io/ios/app/path-to-one/id6760465850 (this page in markdown: same URL + `.md`)
- Developer: [Fuji Bit LLC.](https://appshunter.io/developer/1874205957)
- Category: Games, Card, Strategy
- Price: Free with in-app purchases
- Age rating: 12+
- Requires: iOS 17.0 · 26 MB
- Languages: American English, Japanese
- Released: 2026-03-23
- Data updated: 2026-05-17
- User reviews in markdown: https://appshunter.io/ios/app/path-to-one/id6760465850/reviews.md

## What is path?

path-to-one is a math roguelike game based on the Collatz conjecture (3n+1 problem).

Choose a "cursed number" and navigate a dark labyrinth where every room is a mathematical challenge. Odd rooms are dangerous — the curse swells with 3n+1, dealing damage. Even rooms offer brief safety — divide by 2 and press on. Your goal: reach 1 to break the curse.

◆ STRATEGIC COMBAT
Every odd room presents a choice: fight head-on (3n+1), take a detour (n+1) for a card, use spell cards, or flee. Each decision affects your curse chain — consecutive odd rooms amplify damage up to 2×.

◆ SPELL CARDS
Start with 6 single-use spell cards. Halve your number, shield against damage, heal HP, peek ahead, accelerate through rooms, or purify to even. Duplicate cards upgrade to powerful enhanced versions.

◆ 7 ENEMY TIERS
From Cursed Slimes to the God of Ruin, each enemy tier brings unique abilities: Dark Fog negates foresight, Piercing cuts through shields, Despair triples erosion damage.

◆ 6 BUILDS & 4 DIFFICULTY TIERS
Choose from Guardian, Accelerator, Sorcerer, Seer, Contractor, or the premium Overlord — each with unique starting hands and playstyles. Challenge Normal, Abyss, End, or Void difficulty for greater rewards.

◆ DEEP PROGRESSION
- 19 achievements to unlock
- Grimoire tracks all enemies, cards, and events
- Curse Marks currency to unlock builds and difficulties
- Score ranking system (D through S rank)
- Adventure records to track your history

◆ RANDOM EVENTS
Healing springs, curse traps, treasure chests, dark merchants — and their enhanced variants unlock after repeated encounters.

Can mathematics save you from the curse?

## Pricing and in-app purchases

Base price: Free.

**One-time purchases**

| Purchase | Price | Type |
| --- | --- | --- |
| Overlord Build | $1.99 | one-time |



## Version history (last 5 releases)

### 3.2 — 2026-05-11

We have fixed the bug.

### 3.1 — 2026-05-10

- Full-screen background art on every screen (title, build select, number select, dungeon, events, rewards)
- Looping BGM during dungeon exploration
- Persistent BGM mute toggle on every screen — toggle on/off at any time
- Daily Challenge mode — one seeded run per day with 1.5x score and 2x currency bonus
- Combo system — bonus score for consecutive damage-free room clears (up to 100 points)
- First-launch tutorial via How to Play sheet
- Title screen layout restructured into 3 balanced vertical blocks (title / CTA / bottom links)
- Build select layout overhaul (chip wrap, expand only the selected build)
- Android adaptive icon support
- Android: fixed BGM init order to avoid IllegalStateException on some devices
- Fixed damage multiplier display bug
- Unified UI text colors for better readability

### 2.3 — 2026-04-21

We have fixed the bug.

### 2.2 — 2026-04-13

v2.2 — New Build & Balance Tuning!
• Overlord build added (premium) — Dominate with shields ×2, halve ×2, double step & heal
• Balance adjustments
  - Enhanced Decay Spell buffed: -5 → -10 reduction
  - Normal difficulty erosion increased (even rooms matter more)
  - Void difficulty curse acceleration slightly reduced (more strategic options)

### 2.1 — 2026-03-27

We have fixed some minor bugs.

## More apps by Fuji Bit LLC.

- [SUUGAKU](https://appshunter.io/ios/app/suugaku/id6759102221)
- [BUTURAKU](https://appshunter.io/ios/app/buturaku/id6759213255)
- [PAKEDOU](https://appshunter.io/ios/app/pakedou/id6759820254)
- [HARAKU](https://appshunter.io/ios/app/haraku/id6759958253)
- [KORAKU](https://appshunter.io/ios/app/koraku/id6760215571)
- [NETURAKU](https://appshunter.io/ios/app/neturaku/id6760246813)

All apps by Fuji Bit LLC.: https://appshunter.io/developer/1874205957

## Related topics

[コラッツ予想](https://appshunter.io/ios/topics/)

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-05-17.*