Monday, September 7, 2020

Number of the day: 114735

Properties of the number 114735:

114735 is a cyclic number.
114735 = 3 × 5 × 7649 is a sphenic number and squarefree.
114735 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 61184 totatives.
114735 has a semiprime digit sum 21 in base 10.
114735 has a Fibonacci digit sum 21 in base 10.
114735 has a triangular digit sum 21 in base 10.
114735 has an oblong digit product 420 in base 10.
114735 = 573682 - 573672 = 191242 - 191212 = 114762 - 114712 = 38322 - 38172 is the difference of 2 nonnegative squares in 4 ways.
114735 is the difference of 2 positive pentagonal numbers in 2 ways.
114735 is not the sum of 3 positive squares.
1147352 = 688412 + 917882 = 481322 + 1041512 = 753692 + 865082 = 239852 + 1122002 is the sum of 2 positive squares in 4 ways.
1147352 is the sum of 3 positive squares.
114735 is a proper divisor of 331239 - 1.
114735 = '1147' + '35' is the concatenation of 2 semiprime numbers.
114735 is palindromic in (at least) the following bases: 54, 82, 89, and -66.
114735 in base 54 = dId and consists of only the digits 'I' and 'd'.

The number 114735 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A134186: A 3 person 9 X 9 Markov approach to a zero sum game where: Sum[game_value(MAi),{i,1,3}]=0 and two of the games are minimal Pisot vector Markovs and the third is a negative Fibonacci: Characteristic Polynomial: -1 + 3 x^2 + 3 x^3 - 4 x^4 - 5 x^5 + x^6 + 4 x^7 - x^9; MA1={{0,1,0},{,0,0,1},{1,1,0}};Det=1 ;gv=-1/4; MA2={{0,1,1},{1,0,0},{0,1,0}};Det=1;gv=-1/4 MA2={{0,0,1},{0,1,0},{1,0,-1}};Det=-1;gv=1/2.
A140227: Binomial transform of [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...].

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