44 is a repdigit and palindromic number in decimal. It is the tenth 10-happy number, and the fourth octahedral number.
Repdigit? The word is a portmanteau of "repeated" and "digit". Examples are 11, 666, 4444, and 999999.
The concept of a repdigit has been studied under that name since at least 1974, and earlier Beiler (1966) called them "monodigit numbers".The Brazilian numbers were introduced later, in 1994, in the 9th Iberoamerican Mathematical Olympiad that took place in Fortaleza at Brazil. The first problem in this competition, proposed by Mexico, was as follows:
A number n > 0 is called "Brazilian" if there exists an integer b such that 1 < b < n – 1 for which the representation of n in base b is written with all equal digits. Prove that 1994 is Brazilian and that 1993 is not Brazilian.
Palindromic? A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed.
Octahedral? An octahedral number belongs to a figurate number and it is the number of spheres in an octahedron built from closely packed spheres. First, a few octahedral numbers (where n = 0, 1, 2, 3…….) are 0, 1, 6, 19, and so on.
Thanks Baxter, I had no idea there was so much meaning packed into 44.
Alternately, in terms of numbers, Baxter could be giving a clear and simple message that Angel 44 - one of the guardian angels - has chosen to show him that he is not alone, and that we who live with him are a blessing to him.
He lies on the with his feet in the air, and ears over the keyboard. Is it a repdigit day or an angel day?
