Diadem of IntellectEquipment 17
Source Pathfinder Core Rulebook
Price 15,000 gp
Weight light
An elegant, colorful gem cut into a complex geometric pattern is slotted into a narrow metal band that fits around your brow. You gain a +3 item bonus to checks to Recall Knowledge, regardless of the skill.
When you invest the diadem, you either increase your Intelligence score by 2 or increase it to 18, whichever would give you a higher score.
This gives you additional trained skills and languages, as normal for increasing your Intelligence score. You must select skills and languages the first time you invest the item, and whenever you invest the same diadem of intellect, you get the same skills and languages you chose the first time.
Activate 
envision
Frequency once per hour
Effect You gain the effects of Hypercognition.
Traits
Anything that doesn't list another rarity trait (uncommon, rare, or unique) automatically has the common trait. This rarity indicates that an ability, item, or spell is available to all players who meet the prerequisites for it. A creature of this rarity is generally known and can be summoned with the appropriate summon spell.
ApexWhen you Invest an Item that has the apex trait, it improves one of your ability scores, either increasing it by 2 or to a total of 18, whichever grants the higher score. This gives you all the benefits of the new ability score until the investiture ends. An apex item grants this benefit only the first time it's invested within a 24-hour period, and you can benefit from only one apex item at a time. If you attempt to invest an apex item when you already have one invested, you don't gain the ability score increase, though you do gain any other effects of Investing the Item.
DivinationThe divination school of magic typically involves obtaining or transferring information, or predicting events.
InvestedA character can wear only 10 magical items that have the invested trait. None of the magical effects of the item apply if the character hasn't invested it, nor can it be activated, though the character still gains any normal benefits from wearing the physical item (like a hat keeping rain off their head).
MagicalSomething with the magical trait is imbued with magical energies not tied to a specific tradition of magic. A magical item radiates a magic aura infused with its dominant school of magic. Some items or effects are closely tied to a particular tradition of magic. In these cases, the item has the arcane, divine, occult, or primal trait instead of the magical trait. Any of these traits indicate that the item is magical.