Properties of the Number 21324

Twenty-One Thousand Three Hundred Twenty-Four

Basics

Value: 21323 → 21324 → 21325

Parity: even

Prime: No

Previous Prime: 21323

Next Prime: 21341

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1777

Divisors: 1, 2, 3, 4, 6, 12, 1777, 3554, 5331, 7108

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001101001100

Octal: 51514

Duodecimal: 10410

Hexadecimal: 534c

Square: 454712976

Square Root: 146.02739469017448

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

Triangle read by rows where the n-th row is the first row of Mⁿ, with M the (n+1)-by-(n+1) matrix with (3,1,3,1,3,1,...) on its main diagonal and (1,3,1,3,1,3,...) on its superdiagonal. A124573

Total path length of the complete ternary tree of height n. A289399

Defined by: ∑_i=1..n a(i) / nⁱ = 1, n >= 1. A374562

Number of length 3+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250647

Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with only nonzero entries (0<=k<=floor(n/2)). A181307

a(n) = A306302(n)/2. A331756

Poincaré series for invariant polynomial functions on the space of binary forms of degree 13. A293938

G.f. A(x) satisfies: x = A(x)-4·A(x)²+A(x)³. A276316

Expansion of 1/((1-x)(1-2x)(1-10x)(1-12x)). A21324

A triangular sequence recursion: A(n,k)=A(n - 1, k - 1) + A(n - 1, k) + (5 (-2 + n) (-7 + 5 n))*A(n - 2, k - 1). A153879