The name Zethan in Hebrew letters is זיתן. 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.
זיתן
In short
Your name in Hebrew letters is זיתן. A Tanakh name: an Israelite (first in 1 Chronicles 7:10; 1 mention in the Tanakh). Meaning, per Strong’s dictionary (1890): “olive grove”. Adding up the numbers of its letters gives 467 — the same as the Torah word בהמתך, “your cattle”. That number points to Torah page 113 of 354 — in the portion Bo. What that portion is about: Locusts, darkness and the death of the firstborn; the Passover lamb; the exodus from Egypt; the commandment of tefillin. The verse that begins with the first letter of your name and ends with the last is Genesis 49:13. Each of these steps is laid out below with its sources. Every figure can be checked by hand.
You wrote “Zethan” — this exact spelling is what was calculated: זיתן. 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 זיתן gives 467.
467
The number 467 is the Torah word בהמתך — «your cattle» (Leviticus 19:19).
And HaShem said unto Moses and Aaron: 'This is the ordinance of the passover: there shall no alien eat thereof;
This is from the portion Bo. What it is about: Locusts, darkness and the death of the firstborn; the Passover lamb; the exodus from Egypt; the commandment of tefillin.
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.
Final letters as 500–900 (mispar gadol) — 1117.
Reduced, each letter to one digit (mispar katan) — 17. A Torah word with the same number is טוב — “good” (Genesis 1:4).
Ordinal: alef 1, bet 2 … tav 22 (mispar siduri) — 53. A Torah word with the same number is אבן — “stone” (Genesis 2:12).
Cumulative: a letter plus all letters before it (mispar kidmi) — 1773.
Squares of the letter values (mispar perati) — 162649.
Building: the sum grows with each letter (mispar bone’eh) — 908. A Torah word with the same number is חרשת — “cutting, carving” (Exodus 31:5).
The letters that come out are עמאט — not a word that stands in the Pentateuch. Atbash: letters mirrored, alef for tav, bet for shin, and the number of the resulting word — 120. A Torah word with the same number is מועד — “appointed time, festival” (Genesis 1:14).
Filling: the names of the letters are counted — alef, bet, gimel… (milui) — 599.
The number 467 appears in the classical books 1 time across 1 work. The earliest mention is רפואה למכה (~1780?).
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 — 467. 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. זיתן has 4 letters: ז Zayin, י Yod, ת Tav, ן final Nun. The first letter is Zayin, the last is final Nun.
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 זיתן 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 זיתן these are ז and נ. The Pentateuch has 4 such verses. The first of them is Genesis 49:13:
זבולן לחוף ימים ישכן והוא לחוף אניות וירכתו על צידן
This is from the portion Vayechi. What it is about: Jacob blesses Ephraim and Manasseh and all his sons; Jacob's death and burial in Hebron; Joseph's death.
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.