On 10 July 2009, Google morphed its logo to celebrate the birth of Nikola Telsa in 1856 (i.e.
153
years ago). Telsa was an electricity guru.A couple of days earlier, MathBabbler was updating the nBAB for the number seven. While doing that he learned that seven was a narcissistic number. On 9 July 2009, MathBabbler posted a BAB announcing that the MBNA (MathBabbler Number Analyst) was modified to check for narcissistic numbers. MathBabbler used the number
153
to test the MBNA because153
is a narcissistic number.MathBabbler Number Analyst (MBNA) output: ========================================= 153 is a natural, whole, integer 153 is odd 153 proper divisors are: 1,3,9,17,51, 153 is deficient (sum of divisors is 81) 153 is unhappy 153 is a Harshad number 153 is not prime 153 has the prime factors: 3*3*17 (sum=23) 153 sum of prime factors is: 23 153 and 154 are a Ruth-Aaron pair (distinct prime factors) 153 is narcissistic 153 in octal is 0231 153 in hexadecimal is 0x99 153 in binary is 10011001 (is evil) 153 nearest square numbers: -9...16 (144...169 [13]) sqrt(153) = 12.3693 ln(153) = 5.03044 log(153) = 2.18469 153 reciprocal is .00653594771241830065359477124183 153! is 2.00634e+269 153 is 48.7014 Pi years 153 is 7 score and 13 years 153 written as a Roman numeral is CLIII
[WolframAlpha.com]
153
has a representation as a sum of 2 squares: 3^2+12^2
[NUmberGossip.com]
153
is a vampire number.On 10 June 2009, the MBNA did not check for vampire numbers.
OEIS.org::id:A020342, which states "Vampire numbers (definition 1): n has a nontrivial factorization using n's digits."
126, 153, 688, 1206, 1255, 1260, 1395, 1435, 1503, 1530, 1827, 2187, 3159, 3784, 6880, 10251, 10255, 10426, 10521, 10525, 10575, 11259, 11439, 11844, 11848, 12006, 12060, 12384, 12505, 12546, 12550, 12595, 12600, 12762, 12768, 12798, 12843, 12955, 12964...Let's check and see why
153
is a vampire number.the digits of 153 are 1, 5, 3 and 153 = 51 * 3 let's check 126... the digits of 126 are 1, 2, 6 and 126 = 21 * 6 let's check 1827... the digits of 1827 are 1, 8, 2, 7 and 1827 = 21 * 87
Creator: Gerald Thurman
[gthurman@gmail.com]
Created: 10 July 2009