Properties of the Number 26745

Twenty-Six Thousand Seven Hundred Forty-Five

Basics

Value: 26744 → 26745 → 26746

Parity: odd

Prime: No

Previous Prime: 26737

Next Prime: 26759

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 1783

Divisors: 1, 3, 5, 15, 1783, 5349, 8915, 26745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001111001

Octal: 64171

Duodecimal: 13589

Hexadecimal: 6879

Square: 715295025

Square Root: 163.53898617760842

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

Let A(n) = #{(i,j,k): i² + j² + k² <= n}, V(n) = (4/3)*π*n^3/2, P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives A(A000092(n)). A413

Expansion of ∏_k>=1 (1 + x^2·k-1)^2·k-1/(1 + x^2·k)^2·k. A284467

G.f. A(x) satisfies: [xⁿ] 1/(1 - (n+1)*x) / A(x)² = 0 for n >= 1. A319946

a(n) = floor((xⁿ - (1-x)ⁿ)/sqrt(2)+ 1/2) where x = (sqrt(2)+1)/2. A136421

Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically. A253395

Closed 3-dimensional ball numbers (version 1): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (0,0,0). A53591

Open 3-dimensional ball numbers (version 1): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (0,0,0). A53592

G.f. A(x) satisfies: [xⁿ] 1/(1 - (n+1)*x) / A(x) = 0 for n >= 1. A319945

a(n) = ∑_j=0..n ∑_i=0..n T(j,i), T given by A026736. A26745

Smallest primes p = p(k) with (p(k)+p(k+1)+p(k+2))/15 an integer. A168556