153 (number)

March 2023 153 1, 3, 9, 17, 51, 153 153 (one hundred [and] fifty-three) is a natural number and integer following 152 and preceding 154. It is the sum of the first 17 integers (making it the 17th triangular number), and also the sum of the first five positive factorials. In mathematics thumb|360px|The number 153 is the 17th triangular number. The colours show that 153 is also the sum of the first five positive factorials. The number 153 is associated with the geometric shape known as the Vesica piscis or Mandorla. Archimedes, in his Measurement of a Circle, referred to this ratio (153/265), as constituting the "measure of the fish", this ratio being an imperfect representation of .http://www.greatdreams.com/numbers/jerry/153.htm Measure of the Fish greatdreams.com As a triangular number, 153 is the sum of the first 17 integers, and is also the sum of the first five positive factorials: .Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 140–141. The number 153 is also a hexagonal number, and a truncated triangle number, meaning that 1, 15, and 153 are all triangle numbers. The distinct prime factors of 153 add up to 20, and so do the ones of 154, hence the two form a Ruth-Aaron pair. Since , it is a 3-narcissistic number, and it is also the smallest three-digit number which can be expressed as the sum of cubes of its digits. Gupta Shayam Sunder Curious Properties of 153 http://www.shyamsundergupta.com/c153.htm June 26, 2009 Only five other numbers can be expressed as the sum of the cubes of their digits: 0, 1, 370, 371 and 407.OEIS:A046197 It is also a Friedman number, since 153 = 3 × 51. The Biggs–Smith graph is a symmetric graph with 153 edges, all equivalent. Another feature of the number 153 is that it is the limit of the following algorithm:https://archive.today/20130128083125/http://www.mathpages.com/HOME/kmath463.htm Catch of the Day (153 Fishes) at mathpages.com.OEIS:A165330OEIS:A346630 Take a random positive integer, divisible by three Split that number into its base 10 digits Take the sum of their cubes Go back to the second step An example, starting with the number 84: There are 153 uniform polypeta that are generated from four different fundamental Coxeter groups in six-dimensional space. The sum of the first eight Heegner numbers is 153. In the Bible thumb|240px|Appearance on Lake Tiberias by Duccio, 14th century, showing Jesus and the 7 fishing disciples (with Saint Peter leaving the boat) The Gospel of John (chapter 21:1–14) includes the miraculous catch of 153 fish as the third appearance of Jesus after his resurrection.Biblegateway John 21:1–14 Augustine of Hippo argued that the significance lay in the fact that 153 is the sum of the first 17 integers (i.e. 153 is the 17th triangular number), representing the combination of divine grace (the seven gifts of the Holy Spirit) and law (the Ten Commandments).Jason Byassee, Praise Seeking Understanding: Reading the Psalms with Augustine, Wm. B. Eerdmans Publishing, 2007, p. 130, 0-8028-4012-4. See also References 20em Bibliography Jesus the Miracle Worker: A Historical and Theological Study Graham H. Twelftree InterVarsity Press 1999 9780830815968 Graham Twelftree Miracles in the Fourth Gospel The Collegeville Bible Commentary: Based on the New American Bible Robert J. Karris Liturgical Press 1992 9780814622117 John Neal M. Flanagan John Through the Centuries Wiley Blackwell Bible Commentaries Mark Edwards John Wiley & Sons 2008 9781405143196 Designs for the Church in the Gospel of John: Collected Essays, 1980–2020 465 Wissenschaftliche Untersuchungen zum Neuen Testament R. Alan Culpepper Mohr Siebeck 2021 9783161602627 Bernard 1928a A critical and exegetical commentary on the Gospel According to St John John Henry 1 Bernard John Bernard (bishop) T. & T. Clark Edinburgh 855174 Introduction 1928 https://archive.org/details/criticalexegetic01bern_0 Bernard 1928b A critical and exegetical commentary on the Gospel According to St John John Henry 2 Bernard John Bernard (bishop) T. & T. Clark Edinburgh 855174 Notes on the Greek text 1928 https://archive.org/details/criticalexegetic0000most Early Christians and Animals Robert M. Grant Robert M. Grant (theologian) Routledge 2002 9781134633753 Unusual animals Echoes of a Prophet: The Use of Ezekiel in the Gospel of John and in Literature of the Second Temple Period 270 The Library of New Testament Studies Gary T. Jr. Manning A&C Black 2004 9780567639288 Commentary on the Gospel of John, with an Historical and Critical Introduction Frédéric Louis Godet Frédéric Louis Godet Timothy Dwight Timothy Dwight V Funk & Wagnalls New York 1893 John 21.1–23: Narrative Unity and Its Implications Timothy James Wiarda 1992 10.1177/0142064X9201404604 Journal for the Study of the New Testament 14 6 53–71 145428133 The Gospel of John Craig S. Keener Baker Academic 2010 9781441237057 Epilogue (21:2–25) The Gospel According to John Cambridge Bible Commentaries on the New Testament Archibald Macbride Hunter Alan Hunter Cambridge University Press 1965 9780521092555 External links The Number 153 at The Database of Number Correlations https://web.archive.org/web/20140320232417/http://www.virtuescience.com/153.html March 20, 2014 1 Category:Integers