The name Uday in Hebrew letters is אודיי. Below: how its number adds up, which page of the Torah it falls on and what verse stands there. Everything is computed, nothing is guessed.
אודיי
In short
Your name in Hebrew letters is אודיי. Uday is an Indian name for boys that comes from Sanskrit: the word “udaya” means “sunrise”. Today this name is found mostly in India. In Hebrew it is written by sound. Adding up the numbers of its letters gives 31 — the same as the Torah word אל, “to, toward”. That number points to Torah page 31 of 354 — in the portion Vayera. What that portion is about: Three visitors at Abraham's tent; the plea for Sodom; the birth of Isaac; the binding of Isaac on Mount Moriah. The verse that begins with the first letter of your name and ends with the last is Genesis 15:19. Each of these steps is laid out below with its sources. Every figure can be checked by hand.
You wrote “Uday” — this exact spelling is what was calculated: אודיי. A name from the Tanakh — its Tanakh spelling is used. If your name is spelled differently, correct the Hebrew spelling and the report is recomputed.
Adding up the letters of the name אודיי gives 31.
31
The number 31 is the Torah word אל — «to, toward» (Genesis 1:9).
And G-d said unto Abraham: 'Let it not be grievous in thy sight because of the lad, and because of thy bondwoman; in all that Sarah saith unto thee, hearken unto her voice; for in Isaac shall seed be called to thee.
This is from the portion Vayera. What it is about: Three visitors at Abraham's tent; the plea for Sodom; the birth of Isaac; the binding of Isaac on Mount Moriah.
Other ways of counting
The tradition counts the same name in several ways. The main one is above: each letter is its number. The other eight are old and checkable too; each gives its own number, and many of them have a Torah word with the same number.
with finals and ordinal — 31. A Torah word with the same number is אל — “to, toward” (Genesis 1:9).
Reduced, each letter to one digit (mispar katan) — 13. A Torah word with the same number is אחד — “one” (Genesis 1:5).
Cumulative: a letter plus all letters before it (mispar kidmi) — 142. A Torah word with the same number is בלעם — “Balaam, son of Beor” (Numbers 22:5).
Squares of the letter values (mispar perati) — 253. A Torah word with the same number is אבירם — “Abiram, son of Eliab” (Numbers 16:1).
Building: the sum grows with each letter (mispar bone’eh) — 71. A Torah word with the same number is מלא — “to fill” (Genesis 1:22).
The letters that come out are תפקממ — not a word that stands in the Pentateuch. Atbash: letters mirrored, alef for tav, bet for shin, and the number of the resulting word — 660. A Torah word with the same number is מצנפת — “turban” (Exodus 28:4).
Filling: the names of the letters are counted — alef, bet, gimel… (milui) — 597. A Torah word with the same number is תאספון — “you shall continue” (Exodus 5:7).
The number 31 appears in the classical books 37 times across 25 works. The earliest mention is מדרש לפירושים (~1450?).
Every letter of the name explained, the words and namesakes with references, the Hebrew date, the letter and tribe of the month, day 861 of your life (±1), the psalm by age, the attestations from the classical books — a PDF sent to your email.
The number of the day, every morning
Every date has a number too. Once a year it will match the number of your name — 31. The channel posts one number a day, one verse and the Torah page it lands on. Nothing after it, no mailing list.
Hebrew is written from right to left. אודיי has 5 letters: א Alef, ו Vav, ד Dalet, י Yod, י Yod. The first letter is Alef, the last is Yod.
For an engraving, a sign or a tattoo, show the spelling to someone who reads Hebrew: transliterating a name is a choice, not the only option.
The name אודיי does not stand as a word in the Pentateuch — as with most names, including many Tanakh names from the later books.
The verse of your name
There is a custom: at the end of the prayer one says a Torah verse that begins with the first letter of one's name and ends with its last. For אודיי these are א and י. The Pentateuch has 17 such verses. The first of them is Genesis 15:19:
את הקיני ואת הקנזי ואת הקדמני
This is from the portion Lech Lecha. What it is about: “Go forth”: Abraham leaves Haran; the promise of land and offspring; the covenant between the pieces; circumcision.
«And G-d said unto Abraham: 'Let it not be grievous in thy sight because of the lad, and because of thy bondwoman; in all that Sarah saith unto thee, hearken unto her voice; for in Isaac shall seed be called to thee.»
Each Hebrew letter has a number; a word's number is their sum (alef 1 … tav 400). The page is the remainder modulo 354: the Torah divided into 354 pages of 861 letters, as the lunar year has 354 days. Everything can be checked by hand.