Properties of the Number 28743

Twenty-Eight Thousand Seven Hundred Forty-Three

Basics

Value: 28742 → 28743 → 28744

Parity: odd

Prime: No

Previous Prime: 28729

Next Prime: 28751

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 13 × 67

Divisors: 1, 3, 11, 13, 33, 39, 67, 143, 201, 429

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111000001000111

Octal: 70107

Duodecimal: 14773

Hexadecimal: 7047

Square: 826160049

Square Root: 169.53760644765515

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 of central factorial numbers |4^k t(2n+1,2n+1-2k)| read by rows (n>=0, k=0..n). A8956

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order. A204492

Number T(n,k) of standard Young tableaux for partitions of n into distinct parts with largest part k; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns. A219274

Central factorial numbers: column 2 in triangle A008956. A1823

Sums of distinct powers of 13. A33049

Triangle read by rows: coefficients in expansion of Q(n) = (x-n²)*(x-(n-2)²)*(x-(n-4)²)*...*(x-(1 or 2)²), highest powers first. A182971

Sums of terms of groups in A075626. A75629

Second column of triangle in A182971. A181888

Expansion of 1/((1-x)*(1-x²))⁴. A38164

Triangle T(n,k) defined by the generating function cosh(sqrt(y)*arcsin(x)) + sqrt(y)*sinh(sqrt(y)*arcsin(x)) - 1 = ∑_n>=1 ∑_k=1..n T(n,k)*y^k *xⁿ/n!. A91885