153 ( one hundred fifty three ) is a positive integer located between the numbers 152 and 154 .
| 153 | |
|---|---|
| one hundred fifty three | |
| ← 151 · 152 · 153 · 154 · 155 → | |
| Factorization | 3 2 · 17 |
| Roman notation | CLIII |
| Binary | 10011001 |
| Octal | 231 |
| Hexadecimal | 99 |
Content
In Math
- 153 is an odd three-digit number.
- The sum of the digits of this number is 9
- The product of the digits of this number is 15
- Square of the number 153 - 23409
- 153 = 3 2 + 12 2
153 being a seventeenth a triangular number is the sum of the first seventeen numbers, as well as the sum of the first five factorials 153 = 1 ! + 2 ! + 3 ! + 4 ! + 5 ! = 1 + 2 + 6 + 24 + 120 [1] [2] .
Gospel and Christian Numerology
The numerological interest in the number 153 is associated with its mention in the New Testament . The eleventh verse of the twenty-first chapter of the Gospel of John , in which the risen Jesus appears to his disciples near the Tiberias Sea , reads: " Simon Peter went and pulled out to the earth a net filled with big fish, which were one hundred fifty three ..." [3] . The early Fathers of the Church , especially St. Augustine , reasoned in connection with this wonderful catch about the properties of the number 153. For Augustine, it is important that this (if we use modern terminology) is the seventeenth triangular number , that is, the sum of all positive natural numbers from 1 to 17 [K 1 ] . He interprets the number seventeen as 10 + 7 , where 10 is the number of commandments , and the seven symbolizes the Holy Spirit (seven, according to Isaiah the prophet is the number of spiritual gifts [4] ), without which it is impossible to follow the path of righteousness (see also seven virtues and seven works of mercy ) [5] [2] [6] .
Narcissism
The number 153 is Armstrong’s number in the decimal number system [7] , these numbers are also called narcissistic [8] :
153 = 1 3 + 5 3 + 3 3
Moreover, if you take any number that is a multiple of three, get the sum of the cubes of its digits, then do a similar operation with the result, etc. this series will eventually converge on the number 153 [9] [10] .
In other areas
- 153 days a year - June 2 (in a leap year - June 1 )
- 153 year .
- 153 BC e.
- (153) Hilda is one of the largest asteroids in the main belt .
Notes
- ↑ To justify the importance of such a mathematical operation, Augustine mentions that the number 10 is the sum of the first four natural numbers, that is, the number of commandments is derived from 4 - the number of apostles
- Sources
- ↑ Wells, 1987 , p. 162.
- ↑ 1 2 Navarro, 2014 , p. 13.
- ↑ John chapter 21 verse 11
- ↑ Isaiah chapter 11
- ↑ Sadovsky Dmitry, prot. Blessed Augustine as a preacher. Historical and homiletical research . - Printing house St.- Tr. Sergieva Lavra, 1913 .-- S. 297-299. - 397 p. - ISBN 9785446004034 .
- ↑ Wells, 1987 , p. 163.
- ↑ sequence A005188 in OEIS .
- ↑ Erich Friedman. What's Special About This Number? .
- ↑ Navarro, 2014 , p. 15.
- ↑ Roberts, 1992 , p. 14.
Literature
- David Wells. 153 // The Penguin Dictionary of Curious and Interesting Numbers . - 1st ed. - Penguin Books , 1987 .-- S. 162-163. - 229 p. - ISBN 0-14-008029-5 .
- Lamberto Garcia del Cid. Other curious numbers of antiquity → 153 // Wonderful numbers. Zero, 666 and other beasts. - DeAgostini, 2014 .-- S. 34-36. - 159 p. - (World of Mathematics. Volume 21). - ISBN 978-5-9774-0716-8 .
- Joaquin Navarro. Evangelists, fish and number 153 // The Secret Life of Numbers. Curious sections of mathematics. - DeAgostini, 2014 .-- S. 13-15. - 159 p. - (World of Mathematics. Volume 31). - ISBN 978-5-9774-0726-7 .
- Joe Roberts. Integer 3. §3. Iterates // Lure of the Integers. - MAA , 1992 .-- S. 14-16. - 310 p. - (Spectrum). - ISBN 0-88385-502-X .
Links
- 153 on numbergossip.com