Properties of the Number 26344

Twenty-Six Thousand Three Hundred Forty-Four

Basics

Value: 26343 → 26344 → 26345

Parity: even

Prime: No

Previous Prime: 26339

Next Prime: 26347

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 37 × 89

Divisors: 1, 2, 4, 8, 37, 74, 89, 148, 178, 296

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011011101000

Octal: 63350

Duodecimal: 132B4

Hexadecimal: 66e8

Square: 694006336

Square Root: 162.30834852218786

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: T(n,k) is the number of self-avoiding paths of length n-1+2·k from NW to SW corners in the n X n grid graph (0 <= k <= A000217(n-1), n >= 1). A329633

Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2). A53596

a(n) = a(n-1) + a(n-2) - a(n-4) starting a(0)=0, a(1)=1, a(2)=a(3)=3. A168637

Number of partitions of n whose different summands alternate in parity. A242110

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 81. A31579

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, 1, -1), (1, -1, 0), (1, 0, 0)}. A148571

a(n) = ∑_k=0..n-1 binomial(4·k+1,k) * binomial(4·n-4·k,n-k-1). A386612

a(n) = greatest k such that s(k) = n, where s = A026342. A26344

Number of -4..4 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having two or three distinct values for every i<=n and j<=n. A211689