Properties of the Number 2123

Two Thousand One Hundred Twenty-Three

Basics

Value: 2122 → 2123 → 2124

Parity: odd

Prime: No

Previous Prime: 2113

Next Prime: 2129

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 11 × 193

Divisors: 1, 11, 193, 2123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001001011

Octal: 4113

Duodecimal: 128B

Hexadecimal: 84b

Square: 4507129

Square Root: 46.07602413403309

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

Number of directed animals of size n (or directed n-ominoes in standard position). A5773

Number of integer partitions of n whose distinct parts are pairwise indivisible. A305148

Triangular array that counts rooted polyominoes. A38622

Triangle T(n,m) = ∑_k=0..m Catalan(n-k)*Catalan(k). A28364

Triangle read by rows, T(n,k) = T(n-1,k) + T(n-2,k) + T(n-1,k-1) + T(n-2,k-1) and T(0,0) = 1. A63967

Number of integer partitions of n whose run-lengths are either weakly increasing or weakly decreasing. A332745

Number of compositions of n with all adjacent parts (x, y) satisfying x >= 2y or y >= 2x. A342333

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250755

Semigreedy Catalan Representation of nonnegative integers. A244159

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708