Saturday, January 16, 2021

Number of the day: 2254

Properties of the number 2254:

2254 = 2 × 72 × 23 is the 1918th composite number and is not squarefree.
2254 has 3 distinct prime factors, 12 divisors, 11 antidivisors and 924 totatives.
2254 has an emirp digit sum 13 in base 10.
2254 has a Fibonacci digit sum 13 in base 10.
2254 is the difference of 2 positive pentagonal numbers in 4 ways.
2254 = 22 + 152 + 452 is the sum of 3 positive squares.
22542 is the sum of 3 positive squares.
2254 is a proper divisor of 14712 - 1.
2254 is palindromic in (at least) the following bases: 48, 97, and -25.
2254 in base 33 = 22a and consists of only the digits '2' and 'a'.

The number 2254 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A003363: Numbers that are the sum of 7 positive 6th powers.
A005282: Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.
A035928: Numbers n such that BCR(n) = n, where BCR = binary-complement-and-reverse = take one's complement then reverse bit order.
A128084: Triangle, read by rows of n^2+1 terms, of coefficients of q in the q-analog of the even double factorials: T(n,k) = [q^k] Product_{j=1..n} (1-q^(2j))/(1-q) for n>0, with T(0,0)=1.
A161699: Number of reduced words of length n in the Weyl group B_6.
A217089: Numbers n such that (n^97-1)/(n-1) is prime.
A238707: Number T(n,k) of ballot sequences of length n having difference k between the multiplicities of the smallest and the largest value; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
A241619: T(n,k)=Number of length n+2 0..k arrays with no consecutive three elements summing to more than k
A249553: Numbers n such that there are precisely 10 groups of order n.
A272184: Numbers n such that Bernoulli number B_{n} has denominator 282.

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