### Properties of the number 1844:

1844 = 2^{2}× 461 is the 1561

^{th}composite number and is not squarefree.

1844 has 2 distinct prime factors, 6 divisors, 9 antidivisors and 920 totatives.

1844 has an emirp digit sum 17 in base 10.

Reversing the decimal digits of 1844 results in a prime.

1844 = 1

^{3}+ 8

^{3}+ 11

^{3}is the sum of 3 positive cubes in 1 way.

1844 = 462

^{2}- 460

^{2}is the difference of 2 nonnegative squares in 1 way.

1844 is the difference of 2 positive pentagonal numbers in 1 way.

1844 = 20

^{2}+ 38

^{2}is the sum of 2 positive squares in 1 way.

1844 = 10

^{2}+ 12

^{2}+ 40

^{2}is the sum of 3 positive squares.

1844

^{2}= 1044

^{2}+ 1520

^{2}is the sum of 2 positive squares in 1 way.

1844

^{2}is the sum of 3 positive squares.

1844 is a proper divisor of 509

^{4}- 1.

1844 is palindromic in (at least) the following bases: 20, -13, -14, -23, and -97.

1844 in base 13 = abb and consists of only the digits 'a' and 'b'.

1844 in base 17 = 668 and consists of only the digits '6' and '8'.

1844 in base 20 = 4c4 and consists of only the digits '4' and 'c'.

1844 in base 42 = 11c and consists of only the digits '1' and 'c'.

### The number 1844 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A014561: Numbers n giving rise to prime quadruples (30n+11, 30n+13, 30n+17, 30n+19).

A024026: a(n) = 3^n - n^3.

A067979: Triangle read by rows of incomplete convolutions of Lucas numbers L(n+1) = A000204(n+1), n>=0.

A067990: Triangle A067979 with rows read backwards.

A118551: a(0)=1. a(n) = a(n-1)*2, if n is in the sequence. a(n) = a(n-1) + 1 if n is missing from the sequence.

A134619: Numbers such that the arithmetic mean of the cubes of their prime factors (taken with multiplicity) is a prime.

A138920: Indices k such that A020509(k)=Phi[k](-10) is prime, where Phi is a cyclotomic polynomial.

A138940: Indices n such that A019328(n) = Phi(n,10) is prime, where Phi is a cyclotomic polynomial.

A181470: Numbers n such that 97 is the largest prime factor of n^2-1.

A265067: Coordination sequence for (2,5,8) tiling of hyperbolic plane.

## No comments:

## Post a Comment