Properties of the Number 19854

Nineteen Thousand Eight Hundred Fifty-Four

Basics

Value: 19853 → 19854 → 19855

Parity: even

Prime: No

Previous Prime: 19853

Next Prime: 19861

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1103

Divisors: 1, 2, 3, 6, 9, 18, 1103, 2206, 3309, 6618

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110110001110

Octal: 46616

Duodecimal: B5A6

Hexadecimal: 4d8e

Square: 394181316

Square Root: 140.90422278980853

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly two mistakes. A278325

Square array A(1,k) = A265907(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265907 read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A275960

Number of ways to place 3 nonattacking bishops on a 3 X n board. A172207

Indices of records in A370748. A371864

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x<R, y<R, z>R, where R=max{w,x,y,z}-min{w,x,y,z}. A212752

Transpose of array A275960. A275961

Numbers n such that 3·10ⁿ + 8·R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102980

Number of nX4 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly two mistakes. A278321

G.f.: x²*(1-2·x)/(1-8·x+22·x²-26·x³+14·x⁴-5·x⁵+x⁶). A256428

Number of n X n 0..1 arrays with rows and columns in lexicographic nondecreasing order but with exactly two mistakes. A278318